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Finding the Third Proportional to 159,121 and 223,057.50

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Solution

The third proportional to 159,121 and 223,057.50 is: 312,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,121 : 223,057.50 = 223,057.50 : x
  2. Step 2: Convert to fraction form
    159,121/223,057.50 = 223,057.50/x
  3. Step 3: Cross multiply
    159,121x = 223,057.50 × 223,057.50
  4. Step 4: Simplify right side
    159,121x = 49,754,648,306.25
  5. Step 5: Solve for x
    x = 49,754,648,306.25/159,121
  6. Step 6: Final answer
    x = 312,684.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.