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Finding the Third Proportional to 39,792 and 84,312

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Solution

The third proportional to 39,792 and 84,312 is: 178,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,792 : 84,312 = 84,312 : x
  2. Step 2: Convert to fraction form
    39,792/84,312 = 84,312/x
  3. Step 3: Cross multiply
    39,792x = 84,312 × 84,312
  4. Step 4: Simplify right side
    39,792x = 7,108,513,344
  5. Step 5: Solve for x
    x = 7,108,513,344/39,792
  6. Step 6: Final answer
    x = 178,641.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.