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Finding the Third Proportional to 132,780 and 286,692

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Solution

The third proportional to 132,780 and 286,692 is: 619,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,780 : 286,692 = 286,692 : x
  2. Step 2: Convert to fraction form
    132,780/286,692 = 286,692/x
  3. Step 3: Cross multiply
    132,780x = 286,692 × 286,692
  4. Step 4: Simplify right side
    132,780x = 82,192,302,864
  5. Step 5: Solve for x
    x = 82,192,302,864/132,780
  6. Step 6: Final answer
    x = 619,011.17

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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.