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Finding the Third Proportional to 55,539 and 121,630

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Solution

The third proportional to 55,539 and 121,630 is: 266,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,539 : 121,630 = 121,630 : x
  2. Step 2: Convert to fraction form
    55,539/121,630 = 121,630/x
  3. Step 3: Cross multiply
    55,539x = 121,630 × 121,630
  4. Step 4: Simplify right side
    55,539x = 14,793,856,900
  5. Step 5: Solve for x
    x = 14,793,856,900/55,539
  6. Step 6: Final answer
    x = 266,368.80

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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.