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Finding the Third Proportional to 307,971,564 and 641,417,790

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Solution

The third proportional to 307,971,564 and 641,417,790 is: 1,335,892,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,971,564 : 641,417,790 = 641,417,790 : x
  2. Step 2: Convert to fraction form
    307,971,564/641,417,790 = 641,417,790/x
  3. Step 3: Cross multiply
    307,971,564x = 641,417,790 × 641,417,790
  4. Step 4: Simplify right side
    307,971,564x = 411,416,781,328,484,096
  5. Step 5: Solve for x
    x = 411,416,781,328,484,096/307,971,564
  6. Step 6: Final answer
    x = 1,335,892,106.35

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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.