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Finding the Third Proportional to 411,288 and 560,310

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Solution

The third proportional to 411,288 and 560,310 is: 763,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,288 : 560,310 = 560,310 : x
  2. Step 2: Convert to fraction form
    411,288/560,310 = 560,310/x
  3. Step 3: Cross multiply
    411,288x = 560,310 × 560,310
  4. Step 4: Simplify right side
    411,288x = 313,947,296,100
  5. Step 5: Solve for x
    x = 313,947,296,100/411,288
  6. Step 6: Final answer
    x = 763,327.15

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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.