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Finding the Third Proportional to 66,748.50 and 90,099

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Solution

The third proportional to 66,748.50 and 90,099 is: 121,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,748.50 : 90,099 = 90,099 : x
  2. Step 2: Convert to fraction form
    66,748.50/90,099 = 90,099/x
  3. Step 3: Cross multiply
    66,748.50x = 90,099 × 90,099
  4. Step 4: Simplify right side
    66,748.50x = 8,117,829,801
  5. Step 5: Solve for x
    x = 8,117,829,801/66,748.50
  6. Step 6: Final answer
    x = 121,618.16

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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.