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Finding the Third Proportional to 86,542.50 and 130,966.50

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Solution

The third proportional to 86,542.50 and 130,966.50 is: 198,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542.50 : 130,966.50 = 130,966.50 : x
  2. Step 2: Convert to fraction form
    86,542.50/130,966.50 = 130,966.50/x
  3. Step 3: Cross multiply
    86,542.50x = 130,966.50 × 130,966.50
  4. Step 4: Simplify right side
    86,542.50x = 17,152,224,122.25
  5. Step 5: Solve for x
    x = 17,152,224,122.25/86,542.50
  6. Step 6: Final answer
    x = 198,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.