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Finding the Third Proportional to 125,664 and 275,520

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Solution

The third proportional to 125,664 and 275,520 is: 604,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,664 : 275,520 = 275,520 : x
  2. Step 2: Convert to fraction form
    125,664/275,520 = 275,520/x
  3. Step 3: Cross multiply
    125,664x = 275,520 × 275,520
  4. Step 4: Simplify right side
    125,664x = 75,911,270,400
  5. Step 5: Solve for x
    x = 75,911,270,400/125,664
  6. Step 6: Final answer
    x = 604,081.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.