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Finding the Third Proportional to 523,138 and 740,446

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Solution

The third proportional to 523,138 and 740,446 is: 1,048,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,138 : 740,446 = 740,446 : x
  2. Step 2: Convert to fraction form
    523,138/740,446 = 740,446/x
  3. Step 3: Cross multiply
    523,138x = 740,446 × 740,446
  4. Step 4: Simplify right side
    523,138x = 548,260,278,916
  5. Step 5: Solve for x
    x = 548,260,278,916/523,138
  6. Step 6: Final answer
    x = 1,048,022.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.