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Finding the Third Proportional to 55,413 and 121,599

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Solution

The third proportional to 55,413 and 121,599 is: 266,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413 : 121,599 = 121,599 : x
  2. Step 2: Convert to fraction form
    55,413/121,599 = 121,599/x
  3. Step 3: Cross multiply
    55,413x = 121,599 × 121,599
  4. Step 4: Simplify right side
    55,413x = 14,786,316,801
  5. Step 5: Solve for x
    x = 14,786,316,801/55,413
  6. Step 6: Final answer
    x = 266,838.41

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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.