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Finding the Third Proportional to 132,286 and 285,306

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Solution

The third proportional to 132,286 and 285,306 is: 615,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,286 : 285,306 = 285,306 : x
  2. Step 2: Convert to fraction form
    132,286/285,306 = 285,306/x
  3. Step 3: Cross multiply
    132,286x = 285,306 × 285,306
  4. Step 4: Simplify right side
    132,286x = 81,399,513,636
  5. Step 5: Solve for x
    x = 81,399,513,636/132,286
  6. Step 6: Final answer
    x = 615,329.77

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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.