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Finding the Third Proportional to 132,569 and 280,495

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Solution

The third proportional to 132,569 and 280,495 is: 593,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,569 : 280,495 = 280,495 : x
  2. Step 2: Convert to fraction form
    132,569/280,495 = 280,495/x
  3. Step 3: Cross multiply
    132,569x = 280,495 × 280,495
  4. Step 4: Simplify right side
    132,569x = 78,677,445,025
  5. Step 5: Solve for x
    x = 78,677,445,025/132,569
  6. Step 6: Final answer
    x = 593,482.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.