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Finding the Third Proportional to 209,707,638 and 314,561,493

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Solution

The third proportional to 209,707,638 and 314,561,493 is: 471,842,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707,638 : 314,561,493 = 314,561,493 : x
  2. Step 2: Convert to fraction form
    209,707,638/314,561,493 = 314,561,493/x
  3. Step 3: Cross multiply
    209,707,638x = 314,561,493 × 314,561,493
  4. Step 4: Simplify right side
    209,707,638x = 98,948,932,878,389,056
  5. Step 5: Solve for x
    x = 98,948,932,878,389,056/209,707,638
  6. Step 6: Final answer
    x = 471,842,293.50

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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.