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Finding the Third Proportional to 310,791 and 438,680

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Solution

The third proportional to 310,791 and 438,680 is: 619,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,791 : 438,680 = 438,680 : x
  2. Step 2: Convert to fraction form
    310,791/438,680 = 438,680/x
  3. Step 3: Cross multiply
    310,791x = 438,680 × 438,680
  4. Step 4: Simplify right side
    310,791x = 192,440,142,400
  5. Step 5: Solve for x
    x = 192,440,142,400/310,791
  6. Step 6: Final answer
    x = 619,194.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.