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Finding the Third Proportional to 121,402.55 and 179,749.13

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Solution

The third proportional to 121,402.55 and 179,749.13 is: 266,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,402.55 : 179,749.13 = 179,749.13 : x
  2. Step 2: Convert to fraction form
    121,402.55/179,749.13 = 179,749.13/x
  3. Step 3: Cross multiply
    121,402.55x = 179,749.13 × 179,749.13
  4. Step 4: Simplify right side
    121,402.55x = 32,309,747,938.27
  5. Step 5: Solve for x
    x = 32,309,747,938.27/121,402.55
  6. Step 6: Final answer
    x = 266,137.32

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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.