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Finding the Third Proportional to 138,617 and 220,367.50

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Solution

The third proportional to 138,617 and 220,367.50 is: 350,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,617 : 220,367.50 = 220,367.50 : x
  2. Step 2: Convert to fraction form
    138,617/220,367.50 = 220,367.50/x
  3. Step 3: Cross multiply
    138,617x = 220,367.50 × 220,367.50
  4. Step 4: Simplify right side
    138,617x = 48,561,835,056.25
  5. Step 5: Solve for x
    x = 48,561,835,056.25/138,617
  6. Step 6: Final answer
    x = 350,331.02

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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.