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Finding the Third Proportional to 55,442 and 121,515

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Solution

The third proportional to 55,442 and 121,515 is: 266,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,442 : 121,515 = 121,515 : x
  2. Step 2: Convert to fraction form
    55,442/121,515 = 121,515/x
  3. Step 3: Cross multiply
    55,442x = 121,515 × 121,515
  4. Step 4: Simplify right side
    55,442x = 14,765,895,225
  5. Step 5: Solve for x
    x = 14,765,895,225/55,442
  6. Step 6: Final answer
    x = 266,330.49

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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.