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Finding the Third Proportional to 62,046 and 83,227.50

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Solution

The third proportional to 62,046 and 83,227.50 is: 111,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,046 : 83,227.50 = 83,227.50 : x
  2. Step 2: Convert to fraction form
    62,046/83,227.50 = 83,227.50/x
  3. Step 3: Cross multiply
    62,046x = 83,227.50 × 83,227.50
  4. Step 4: Simplify right side
    62,046x = 6,926,816,756.25
  5. Step 5: Solve for x
    x = 6,926,816,756.25/62,046
  6. Step 6: Final answer
    x = 111,640.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.