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Finding the Third Proportional to 381,640 and 560,788

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Solution

The third proportional to 381,640 and 560,788 is: 824,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,640 : 560,788 = 560,788 : x
  2. Step 2: Convert to fraction form
    381,640/560,788 = 560,788/x
  3. Step 3: Cross multiply
    381,640x = 560,788 × 560,788
  4. Step 4: Simplify right side
    381,640x = 314,483,180,944
  5. Step 5: Solve for x
    x = 314,483,180,944/381,640
  6. Step 6: Final answer
    x = 824,030.97

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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.