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Finding the Third Proportional to 55,434 and 121,602

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Solution

The third proportional to 55,434 and 121,602 is: 266,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,434 : 121,602 = 121,602 : x
  2. Step 2: Convert to fraction form
    55,434/121,602 = 121,602/x
  3. Step 3: Cross multiply
    55,434x = 121,602 × 121,602
  4. Step 4: Simplify right side
    55,434x = 14,787,046,404
  5. Step 5: Solve for x
    x = 14,787,046,404/55,434
  6. Step 6: Final answer
    x = 266,750.49

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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.