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Finding the Third Proportional to 299,056,755,063 and 643,470,989,295

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Solution

The third proportional to 299,056,755,063 and 643,470,989,295 is: 1,384,536,236,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,056,755,063 : 643,470,989,295 = 643,470,989,295 : x
  2. Step 2: Convert to fraction form
    299,056,755,063/643,470,989,295 = 643,470,989,295/x
  3. Step 3: Cross multiply
    299,056,755,063x = 643,470,989,295 × 643,470,989,295
  4. Step 4: Simplify right side
    299,056,755,063x = 414,054,914,064,286,021,058,560
  5. Step 5: Solve for x
    x = 414,054,914,064,286,021,058,560/299,056,755,063
  6. Step 6: Final answer
    x = 1,384,536,236,197.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.