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Finding the Third Proportional to 132,772.50 and 287,677.50

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Solution

The third proportional to 132,772.50 and 287,677.50 is: 623,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,772.50 : 287,677.50 = 287,677.50 : x
  2. Step 2: Convert to fraction form
    132,772.50/287,677.50 = 287,677.50/x
  3. Step 3: Cross multiply
    132,772.50x = 287,677.50 × 287,677.50
  4. Step 4: Simplify right side
    132,772.50x = 82,758,344,006.25
  5. Step 5: Solve for x
    x = 82,758,344,006.25/132,772.50
  6. Step 6: Final answer
    x = 623,309.38

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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.