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Finding the Third Proportional to 45,249 and 99,421

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Solution

The third proportional to 45,249 and 99,421 is: 218,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,249 : 99,421 = 99,421 : x
  2. Step 2: Convert to fraction form
    45,249/99,421 = 99,421/x
  3. Step 3: Cross multiply
    45,249x = 99,421 × 99,421
  4. Step 4: Simplify right side
    45,249x = 9,884,535,241
  5. Step 5: Solve for x
    x = 9,884,535,241/45,249
  6. Step 6: Final answer
    x = 218,447.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.