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Finding the Third Proportional to 307,971,572 and 641,417,806

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Solution

The third proportional to 307,971,572 and 641,417,806 is: 1,335,892,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,971,572 : 641,417,806 = 641,417,806 : x
  2. Step 2: Convert to fraction form
    307,971,572/641,417,806 = 641,417,806/x
  3. Step 3: Cross multiply
    307,971,572x = 641,417,806 × 641,417,806
  4. Step 4: Simplify right side
    307,971,572x = 411,416,801,853,853,632
  5. Step 5: Solve for x
    x = 411,416,801,853,853,632/307,971,572
  6. Step 6: Final answer
    x = 1,335,892,138.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.