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Finding the Third Proportional to 39,710.25 and 87,412.50

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Solution

The third proportional to 39,710.25 and 87,412.50 is: 192,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,710.25 : 87,412.50 = 87,412.50 : x
  2. Step 2: Convert to fraction form
    39,710.25/87,412.50 = 87,412.50/x
  3. Step 3: Cross multiply
    39,710.25x = 87,412.50 × 87,412.50
  4. Step 4: Simplify right side
    39,710.25x = 7,640,945,156.25
  5. Step 5: Solve for x
    x = 7,640,945,156.25/39,710.25
  6. Step 6: Final answer
    x = 192,417.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.