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Finding the Third Proportional to 340,542 and 716,372

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Solution

The third proportional to 340,542 and 716,372 is: 1,506,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,542 : 716,372 = 716,372 : x
  2. Step 2: Convert to fraction form
    340,542/716,372 = 716,372/x
  3. Step 3: Cross multiply
    340,542x = 716,372 × 716,372
  4. Step 4: Simplify right side
    340,542x = 513,188,842,384
  5. Step 5: Solve for x
    x = 513,188,842,384/340,542
  6. Step 6: Final answer
    x = 1,506,976.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.