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Finding the Third Proportional to 88,684.50 and 140,404.50

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Solution

The third proportional to 88,684.50 and 140,404.50 is: 222,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,684.50 : 140,404.50 = 140,404.50 : x
  2. Step 2: Convert to fraction form
    88,684.50/140,404.50 = 140,404.50/x
  3. Step 3: Cross multiply
    88,684.50x = 140,404.50 × 140,404.50
  4. Step 4: Simplify right side
    88,684.50x = 19,713,423,620.25
  5. Step 5: Solve for x
    x = 19,713,423,620.25/88,684.50
  6. Step 6: Final answer
    x = 222,287.14

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.