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Finding the Third Proportional to 261,216 and 580,800

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Solution

The third proportional to 261,216 and 580,800 is: 1,291,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,216 : 580,800 = 580,800 : x
  2. Step 2: Convert to fraction form
    261,216/580,800 = 580,800/x
  3. Step 3: Cross multiply
    261,216x = 580,800 × 580,800
  4. Step 4: Simplify right side
    261,216x = 337,328,640,000
  5. Step 5: Solve for x
    x = 337,328,640,000/261,216
  6. Step 6: Final answer
    x = 1,291,378.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.