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Finding the Third Proportional to 261,840 and 574,656

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Solution

The third proportional to 261,840 and 574,656 is: 1,261,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,840 : 574,656 = 574,656 : x
  2. Step 2: Convert to fraction form
    261,840/574,656 = 574,656/x
  3. Step 3: Cross multiply
    261,840x = 574,656 × 574,656
  4. Step 4: Simplify right side
    261,840x = 330,229,518,336
  5. Step 5: Solve for x
    x = 330,229,518,336/261,840
  6. Step 6: Final answer
    x = 1,261,188.20

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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.