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Finding the Third Proportional to 138,645 and 220,387.50

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Solution

The third proportional to 138,645 and 220,387.50 is: 350,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645 : 220,387.50 = 220,387.50 : x
  2. Step 2: Convert to fraction form
    138,645/220,387.50 = 220,387.50/x
  3. Step 3: Cross multiply
    138,645x = 220,387.50 × 220,387.50
  4. Step 4: Simplify right side
    138,645x = 48,570,650,156.25
  5. Step 5: Solve for x
    x = 48,570,650,156.25/138,645
  6. Step 6: Final answer
    x = 350,323.85

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Why These Related Problems?

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