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Finding the Third Proportional to 103,687 and 152,220

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Solution

The third proportional to 103,687 and 152,220 is: 223,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687 : 152,220 = 152,220 : x
  2. Step 2: Convert to fraction form
    103,687/152,220 = 152,220/x
  3. Step 3: Cross multiply
    103,687x = 152,220 × 152,220
  4. Step 4: Simplify right side
    103,687x = 23,170,928,400
  5. Step 5: Solve for x
    x = 23,170,928,400/103,687
  6. Step 6: Final answer
    x = 223,469.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.