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Finding the Third Proportional to 261,917 and 405,700

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Solution

The third proportional to 261,917 and 405,700 is: 628,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,917 : 405,700 = 405,700 : x
  2. Step 2: Convert to fraction form
    261,917/405,700 = 405,700/x
  3. Step 3: Cross multiply
    261,917x = 405,700 × 405,700
  4. Step 4: Simplify right side
    261,917x = 164,592,490,000
  5. Step 5: Solve for x
    x = 164,592,490,000/261,917
  6. Step 6: Final answer
    x = 628,414.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.