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Finding the Third Proportional to 39,258 and 84,060

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Solution

The third proportional to 39,258 and 84,060 is: 179,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,258 : 84,060 = 84,060 : x
  2. Step 2: Convert to fraction form
    39,258/84,060 = 84,060/x
  3. Step 3: Cross multiply
    39,258x = 84,060 × 84,060
  4. Step 4: Simplify right side
    39,258x = 7,066,083,600
  5. Step 5: Solve for x
    x = 7,066,083,600/39,258
  6. Step 6: Final answer
    x = 179,990.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.