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Finding the Third Proportional to 138,607.50 and 220,623

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Solution

The third proportional to 138,607.50 and 220,623 is: 351,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,607.50 : 220,623 = 220,623 : x
  2. Step 2: Convert to fraction form
    138,607.50/220,623 = 220,623/x
  3. Step 3: Cross multiply
    138,607.50x = 220,623 × 220,623
  4. Step 4: Simplify right side
    138,607.50x = 48,674,508,129
  5. Step 5: Solve for x
    x = 48,674,508,129/138,607.50
  6. Step 6: Final answer
    x = 351,167.92

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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.