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Finding the Third Proportional to 121,492.88 and 171,013.50

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Solution

The third proportional to 121,492.88 and 171,013.50 is: 240,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,492.88 : 171,013.50 = 171,013.50 : x
  2. Step 2: Convert to fraction form
    121,492.88/171,013.50 = 171,013.50/x
  3. Step 3: Cross multiply
    121,492.88x = 171,013.50 × 171,013.50
  4. Step 4: Simplify right side
    121,492.88x = 29,245,617,182.25
  5. Step 5: Solve for x
    x = 29,245,617,182.25/121,492.88
  6. Step 6: Final answer
    x = 240,718.78

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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.