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Finding the Third Proportional to 296,448,321 and 643,929,177

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Solution

The third proportional to 296,448,321 and 643,929,177 is: 1,398,708,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,448,321 : 643,929,177 = 643,929,177 : x
  2. Step 2: Convert to fraction form
    296,448,321/643,929,177 = 643,929,177/x
  3. Step 3: Cross multiply
    296,448,321x = 643,929,177 × 643,929,177
  4. Step 4: Simplify right side
    296,448,321x = 414,644,784,991,897,344
  5. Step 5: Solve for x
    x = 414,644,784,991,897,344/296,448,321
  6. Step 6: Final answer
    x = 1,398,708,495.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.