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Finding the Third Proportional to 132,718.50 and 280,413

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Solution

The third proportional to 132,718.50 and 280,413 is: 592,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,718.50 : 280,413 = 280,413 : x
  2. Step 2: Convert to fraction form
    132,718.50/280,413 = 280,413/x
  3. Step 3: Cross multiply
    132,718.50x = 280,413 × 280,413
  4. Step 4: Simplify right side
    132,718.50x = 78,631,450,569
  5. Step 5: Solve for x
    x = 78,631,450,569/132,718.50
  6. Step 6: Final answer
    x = 592,467.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.