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Finding the Third Proportional to 299,755,142 and 449,632,671

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Solution

The third proportional to 299,755,142 and 449,632,671 is: 674,448,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755,142 : 449,632,671 = 449,632,671 : x
  2. Step 2: Convert to fraction form
    299,755,142/449,632,671 = 449,632,671/x
  3. Step 3: Cross multiply
    299,755,142x = 449,632,671 × 449,632,671
  4. Step 4: Simplify right side
    299,755,142x = 202,169,538,830,594,240
  5. Step 5: Solve for x
    x = 202,169,538,830,594,240/299,755,142
  6. Step 6: Final answer
    x = 674,448,943.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.