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Finding the Third Proportional to 86,460 and 187,680

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Solution

The third proportional to 86,460 and 187,680 is: 407,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,460 : 187,680 = 187,680 : x
  2. Step 2: Convert to fraction form
    86,460/187,680 = 187,680/x
  3. Step 3: Cross multiply
    86,460x = 187,680 × 187,680
  4. Step 4: Simplify right side
    86,460x = 35,223,782,400
  5. Step 5: Solve for x
    x = 35,223,782,400/86,460
  6. Step 6: Final answer
    x = 407,399.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.