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Finding the Third Proportional to 307,542 and 661,068

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Solution

The third proportional to 307,542 and 661,068 is: 1,420,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,542 : 661,068 = 661,068 : x
  2. Step 2: Convert to fraction form
    307,542/661,068 = 661,068/x
  3. Step 3: Cross multiply
    307,542x = 661,068 × 661,068
  4. Step 4: Simplify right side
    307,542x = 437,010,900,624
  5. Step 5: Solve for x
    x = 437,010,900,624/307,542
  6. Step 6: Final answer
    x = 1,420,979.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.