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Finding the Third Proportional to 90,167.50 and 140,710.25

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Solution

The third proportional to 90,167.50 and 140,710.25 is: 219,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,167.50 : 140,710.25 = 140,710.25 : x
  2. Step 2: Convert to fraction form
    90,167.50/140,710.25 = 140,710.25/x
  3. Step 3: Cross multiply
    90,167.50x = 140,710.25 × 140,710.25
  4. Step 4: Simplify right side
    90,167.50x = 19,799,374,455.06
  5. Step 5: Solve for x
    x = 19,799,374,455.06/90,167.50
  6. Step 6: Final answer
    x = 219,584.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.