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Finding the Third Proportional to 243,662 and 376,561

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Solution

The third proportional to 243,662 and 376,561 is: 581,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,662 : 376,561 = 376,561 : x
  2. Step 2: Convert to fraction form
    243,662/376,561 = 376,561/x
  3. Step 3: Cross multiply
    243,662x = 376,561 × 376,561
  4. Step 4: Simplify right side
    243,662x = 141,798,186,721
  5. Step 5: Solve for x
    x = 141,798,186,721/243,662
  6. Step 6: Final answer
    x = 581,946.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.