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Finding the Third Proportional to 132,731 and 287,599

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Solution

The third proportional to 132,731 and 287,599 is: 623,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,731 : 287,599 = 287,599 : x
  2. Step 2: Convert to fraction form
    132,731/287,599 = 287,599/x
  3. Step 3: Cross multiply
    132,731x = 287,599 × 287,599
  4. Step 4: Simplify right side
    132,731x = 82,713,184,801
  5. Step 5: Solve for x
    x = 82,713,184,801/132,731
  6. Step 6: Final answer
    x = 623,164.03

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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.