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Finding the Third Proportional to 55,463.20 and 121,421.53

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Solution

The third proportional to 55,463.20 and 121,421.53 is: 265,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,463.20 : 121,421.53 = 121,421.53 : x
  2. Step 2: Convert to fraction form
    55,463.20/121,421.53 = 121,421.53/x
  3. Step 3: Cross multiply
    55,463.20x = 121,421.53 × 121,421.53
  4. Step 4: Simplify right side
    55,463.20x = 14,743,188,251.09
  5. Step 5: Solve for x
    x = 14,743,188,251.09/55,463.20
  6. Step 6: Final answer
    x = 265,819.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.