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Finding the Third Proportional to 78,632 and 117,660

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Solution

The third proportional to 78,632 and 117,660 is: 176,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632 : 117,660 = 117,660 : x
  2. Step 2: Convert to fraction form
    78,632/117,660 = 117,660/x
  3. Step 3: Cross multiply
    78,632x = 117,660 × 117,660
  4. Step 4: Simplify right side
    78,632x = 13,843,875,600
  5. Step 5: Solve for x
    x = 13,843,875,600/78,632
  6. Step 6: Final answer
    x = 176,059.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.