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Finding the Third Proportional to 261,894 and 400,452

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Solution

The third proportional to 261,894 and 400,452 is: 612,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,894 : 400,452 = 400,452 : x
  2. Step 2: Convert to fraction form
    261,894/400,452 = 400,452/x
  3. Step 3: Cross multiply
    261,894x = 400,452 × 400,452
  4. Step 4: Simplify right side
    261,894x = 160,361,804,304
  5. Step 5: Solve for x
    x = 160,361,804,304/261,894
  6. Step 6: Final answer
    x = 612,315.69

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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.