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Finding the Third Proportional to 71,139 and 103,036.50

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Solution

The third proportional to 71,139 and 103,036.50 is: 149,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,139 : 103,036.50 = 103,036.50 : x
  2. Step 2: Convert to fraction form
    71,139/103,036.50 = 103,036.50/x
  3. Step 3: Cross multiply
    71,139x = 103,036.50 × 103,036.50
  4. Step 4: Simplify right side
    71,139x = 10,616,520,332.25
  5. Step 5: Solve for x
    x = 10,616,520,332.25/71,139
  6. Step 6: Final answer
    x = 149,236.29

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.