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Finding the Third Proportional to 132,520.50 and 287,316

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Solution

The third proportional to 132,520.50 and 287,316 is: 622,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,520.50 : 287,316 = 287,316 : x
  2. Step 2: Convert to fraction form
    132,520.50/287,316 = 287,316/x
  3. Step 3: Cross multiply
    132,520.50x = 287,316 × 287,316
  4. Step 4: Simplify right side
    132,520.50x = 82,550,483,856
  5. Step 5: Solve for x
    x = 82,550,483,856/132,520.50
  6. Step 6: Final answer
    x = 622,926.14

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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.