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Finding the Third Proportional to 307,519 and 665,581

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Solution

The third proportional to 307,519 and 665,581 is: 1,440,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,519 : 665,581 = 665,581 : x
  2. Step 2: Convert to fraction form
    307,519/665,581 = 665,581/x
  3. Step 3: Cross multiply
    307,519x = 665,581 × 665,581
  4. Step 4: Simplify right side
    307,519x = 442,998,067,561
  5. Step 5: Solve for x
    x = 442,998,067,561/307,519
  6. Step 6: Final answer
    x = 1,440,555.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.