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Finding the Third Proportional to 55,421 and 121,615

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Solution

The third proportional to 55,421 and 121,615 is: 266,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421 : 121,615 = 121,615 : x
  2. Step 2: Convert to fraction form
    55,421/121,615 = 121,615/x
  3. Step 3: Cross multiply
    55,421x = 121,615 × 121,615
  4. Step 4: Simplify right side
    55,421x = 14,790,208,225
  5. Step 5: Solve for x
    x = 14,790,208,225/55,421
  6. Step 6: Final answer
    x = 266,870.11

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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.