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Finding the Third Proportional to 132,269 and 285,447

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Solution

The third proportional to 132,269 and 285,447 is: 616,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,269 : 285,447 = 285,447 : x
  2. Step 2: Convert to fraction form
    132,269/285,447 = 285,447/x
  3. Step 3: Cross multiply
    132,269x = 285,447 × 285,447
  4. Step 4: Simplify right side
    132,269x = 81,479,989,809
  5. Step 5: Solve for x
    x = 81,479,989,809/132,269
  6. Step 6: Final answer
    x = 616,017.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.