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Finding the Third Proportional to 55,581 and 121,703

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Solution

The third proportional to 55,581 and 121,703 is: 266,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,581 : 121,703 = 121,703 : x
  2. Step 2: Convert to fraction form
    55,581/121,703 = 121,703/x
  3. Step 3: Cross multiply
    55,581x = 121,703 × 121,703
  4. Step 4: Simplify right side
    55,581x = 14,811,620,209
  5. Step 5: Solve for x
    x = 14,811,620,209/55,581
  6. Step 6: Final answer
    x = 266,487.11

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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.