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Finding the Third Proportional to 121,624 and 171,152

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Solution

The third proportional to 121,624 and 171,152 is: 240,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,624 : 171,152 = 171,152 : x
  2. Step 2: Convert to fraction form
    121,624/171,152 = 171,152/x
  3. Step 3: Cross multiply
    121,624x = 171,152 × 171,152
  4. Step 4: Simplify right side
    121,624x = 29,293,007,104
  5. Step 5: Solve for x
    x = 29,293,007,104/121,624
  6. Step 6: Final answer
    x = 240,848.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.