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Finding the Third Proportional to 307,982,088 and 641,440,539

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Solution

The third proportional to 307,982,088 and 641,440,539 is: 1,335,941,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982,088 : 641,440,539 = 641,440,539 : x
  2. Step 2: Convert to fraction form
    307,982,088/641,440,539 = 641,440,539/x
  3. Step 3: Cross multiply
    307,982,088x = 641,440,539 × 641,440,539
  4. Step 4: Simplify right side
    307,982,088x = 411,445,965,072,610,496
  5. Step 5: Solve for x
    x = 411,445,965,072,610,496/307,982,088
  6. Step 6: Final answer
    x = 1,335,941,215.75

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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.