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Finding the Third Proportional to 86,512.50 and 116,403

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Solution

The third proportional to 86,512.50 and 116,403 is: 156,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,512.50 : 116,403 = 116,403 : x
  2. Step 2: Convert to fraction form
    86,512.50/116,403 = 116,403/x
  3. Step 3: Cross multiply
    86,512.50x = 116,403 × 116,403
  4. Step 4: Simplify right side
    86,512.50x = 13,549,658,409
  5. Step 5: Solve for x
    x = 13,549,658,409/86,512.50
  6. Step 6: Final answer
    x = 156,620.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.