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Finding the Third Proportional to 125,880 and 257,592

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Solution

The third proportional to 125,880 and 257,592 is: 527,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,880 : 257,592 = 257,592 : x
  2. Step 2: Convert to fraction form
    125,880/257,592 = 257,592/x
  3. Step 3: Cross multiply
    125,880x = 257,592 × 257,592
  4. Step 4: Simplify right side
    125,880x = 66,353,638,464
  5. Step 5: Solve for x
    x = 66,353,638,464/125,880
  6. Step 6: Final answer
    x = 527,118.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.