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Finding the Third Proportional to 121,402.50 and 179,748.38

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Solution

The third proportional to 121,402.50 and 179,748.38 is: 266,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,402.50 : 179,748.38 = 179,748.38 : x
  2. Step 2: Convert to fraction form
    121,402.50/179,748.38 = 179,748.38/x
  3. Step 3: Cross multiply
    121,402.50x = 179,748.38 × 179,748.38
  4. Step 4: Simplify right side
    121,402.50x = 32,309,478,315.14
  5. Step 5: Solve for x
    x = 32,309,478,315.14/121,402.50
  6. Step 6: Final answer
    x = 266,135.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.