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Finding the Third Proportional to 39,460 and 83,942

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Solution

The third proportional to 39,460 and 83,942 is: 178,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460 : 83,942 = 83,942 : x
  2. Step 2: Convert to fraction form
    39,460/83,942 = 83,942/x
  3. Step 3: Cross multiply
    39,460x = 83,942 × 83,942
  4. Step 4: Simplify right side
    39,460x = 7,046,259,364
  5. Step 5: Solve for x
    x = 7,046,259,364/39,460
  6. Step 6: Final answer
    x = 178,567.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.