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Finding the Third Proportional to 261,876 and 570,420

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Solution

The third proportional to 261,876 and 570,420 is: 1,242,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,876 : 570,420 = 570,420 : x
  2. Step 2: Convert to fraction form
    261,876/570,420 = 570,420/x
  3. Step 3: Cross multiply
    261,876x = 570,420 × 570,420
  4. Step 4: Simplify right side
    261,876x = 325,378,976,400
  5. Step 5: Solve for x
    x = 325,378,976,400/261,876
  6. Step 6: Final answer
    x = 1,242,492.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.