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Finding the Third Proportional to 411,286 and 560,307

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Solution

The third proportional to 411,286 and 560,307 is: 763,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,286 : 560,307 = 560,307 : x
  2. Step 2: Convert to fraction form
    411,286/560,307 = 560,307/x
  3. Step 3: Cross multiply
    411,286x = 560,307 × 560,307
  4. Step 4: Simplify right side
    411,286x = 313,943,934,249
  5. Step 5: Solve for x
    x = 313,943,934,249/411,286
  6. Step 6: Final answer
    x = 763,322.69

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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.