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Finding the Third Proportional to 87,300 and 138,451.50

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Solution

The third proportional to 87,300 and 138,451.50 is: 219,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,300 : 138,451.50 = 138,451.50 : x
  2. Step 2: Convert to fraction form
    87,300/138,451.50 = 138,451.50/x
  3. Step 3: Cross multiply
    87,300x = 138,451.50 × 138,451.50
  4. Step 4: Simplify right side
    87,300x = 19,168,817,852.25
  5. Step 5: Solve for x
    x = 19,168,817,852.25/87,300
  6. Step 6: Final answer
    x = 219,574.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.