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Finding the Third Proportional to 261,830 and 400,360

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Solution

The third proportional to 261,830 and 400,360 is: 612,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,830 : 400,360 = 400,360 : x
  2. Step 2: Convert to fraction form
    261,830/400,360 = 400,360/x
  3. Step 3: Cross multiply
    261,830x = 400,360 × 400,360
  4. Step 4: Simplify right side
    261,830x = 160,288,129,600
  5. Step 5: Solve for x
    x = 160,288,129,600/261,830
  6. Step 6: Final answer
    x = 612,183.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.