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Finding the Third Proportional to 310,792 and 438,681

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Solution

The third proportional to 310,792 and 438,681 is: 619,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,792 : 438,681 = 438,681 : x
  2. Step 2: Convert to fraction form
    310,792/438,681 = 438,681/x
  3. Step 3: Cross multiply
    310,792x = 438,681 × 438,681
  4. Step 4: Simplify right side
    310,792x = 192,441,019,761
  5. Step 5: Solve for x
    x = 192,441,019,761/310,792
  6. Step 6: Final answer
    x = 619,195.54

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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.