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Finding the Third Proportional to 506,640 and 790,632

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Solution

The third proportional to 506,640 and 790,632 is: 1,233,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,640 : 790,632 = 790,632 : x
  2. Step 2: Convert to fraction form
    506,640/790,632 = 790,632/x
  3. Step 3: Cross multiply
    506,640x = 790,632 × 790,632
  4. Step 4: Simplify right side
    506,640x = 625,098,959,424
  5. Step 5: Solve for x
    x = 625,098,959,424/506,640
  6. Step 6: Final answer
    x = 1,233,812.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.