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Finding the Third Proportional to 209,707,642 and 314,561,500

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Solution

The third proportional to 209,707,642 and 314,561,500 is: 471,842,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707,642 : 314,561,500 = 314,561,500 : x
  2. Step 2: Convert to fraction form
    209,707,642/314,561,500 = 314,561,500/x
  3. Step 3: Cross multiply
    209,707,642x = 314,561,500 × 314,561,500
  4. Step 4: Simplify right side
    209,707,642x = 98,948,937,282,250,000
  5. Step 5: Solve for x
    x = 98,948,937,282,250,000/209,707,642
  6. Step 6: Final answer
    x = 471,842,305.50

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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.