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Finding the Third Proportional to 523,142 and 740,452

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Solution

The third proportional to 523,142 and 740,452 is: 1,048,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,142 : 740,452 = 740,452 : x
  2. Step 2: Convert to fraction form
    523,142/740,452 = 740,452/x
  3. Step 3: Cross multiply
    523,142x = 740,452 × 740,452
  4. Step 4: Simplify right side
    523,142x = 548,269,164,304
  5. Step 5: Solve for x
    x = 548,269,164,304/523,142
  6. Step 6: Final answer
    x = 1,048,031.25

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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.