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Finding the Third Proportional to 124,207.50 and 269,421

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Solution

The third proportional to 124,207.50 and 269,421 is: 584,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,207.50 : 269,421 = 269,421 : x
  2. Step 2: Convert to fraction form
    124,207.50/269,421 = 269,421/x
  3. Step 3: Cross multiply
    124,207.50x = 269,421 × 269,421
  4. Step 4: Simplify right side
    124,207.50x = 72,587,675,241
  5. Step 5: Solve for x
    x = 72,587,675,241/124,207.50
  6. Step 6: Final answer
    x = 584,406.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.