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Finding the Third Proportional to 381,212 and 560,730

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Solution

The third proportional to 381,212 and 560,730 is: 824,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,212 : 560,730 = 560,730 : x
  2. Step 2: Convert to fraction form
    381,212/560,730 = 560,730/x
  3. Step 3: Cross multiply
    381,212x = 560,730 × 560,730
  4. Step 4: Simplify right side
    381,212x = 314,418,132,900
  5. Step 5: Solve for x
    x = 314,418,132,900/381,212
  6. Step 6: Final answer
    x = 824,785.51

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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.