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Finding the Third Proportional to 411,269 and 560,284

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Solution

The third proportional to 411,269 and 560,284 is: 763,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,269 : 560,284 = 560,284 : x
  2. Step 2: Convert to fraction form
    411,269/560,284 = 560,284/x
  3. Step 3: Cross multiply
    411,269x = 560,284 × 560,284
  4. Step 4: Simplify right side
    411,269x = 313,918,160,656
  5. Step 5: Solve for x
    x = 313,918,160,656/411,269
  6. Step 6: Final answer
    x = 763,291.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.