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Finding the Third Proportional to 55,569 and 121,678.13

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Solution

The third proportional to 55,569 and 121,678.13 is: 266,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,569 : 121,678.13 = 121,678.13 : x
  2. Step 2: Convert to fraction form
    55,569/121,678.13 = 121,678.13/x
  3. Step 3: Cross multiply
    55,569x = 121,678.13 × 121,678.13
  4. Step 4: Simplify right side
    55,569x = 14,805,566,103.52
  5. Step 5: Solve for x
    x = 14,805,566,103.52/55,569
  6. Step 6: Final answer
    x = 266,435.71

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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.