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Finding the Third Proportional to 381,210 and 560,727

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Solution

The third proportional to 381,210 and 560,727 is: 824,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,210 : 560,727 = 560,727 : x
  2. Step 2: Convert to fraction form
    381,210/560,727 = 560,727/x
  3. Step 3: Cross multiply
    381,210x = 560,727 × 560,727
  4. Step 4: Simplify right side
    381,210x = 314,414,768,529
  5. Step 5: Solve for x
    x = 314,414,768,529/381,210
  6. Step 6: Final answer
    x = 824,781.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.