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Finding the Third Proportional to 55,906 and 121,654

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Solution

The third proportional to 55,906 and 121,654 is: 264,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906 : 121,654 = 121,654 : x
  2. Step 2: Convert to fraction form
    55,906/121,654 = 121,654/x
  3. Step 3: Cross multiply
    55,906x = 121,654 × 121,654
  4. Step 4: Simplify right side
    55,906x = 14,799,695,716
  5. Step 5: Solve for x
    x = 14,799,695,716/55,906
  6. Step 6: Final answer
    x = 264,724.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.