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Finding the Third Proportional to 401,625 and 621,882

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Solution

The third proportional to 401,625 and 621,882 is: 962,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,625 : 621,882 = 621,882 : x
  2. Step 2: Convert to fraction form
    401,625/621,882 = 621,882/x
  3. Step 3: Cross multiply
    401,625x = 621,882 × 621,882
  4. Step 4: Simplify right side
    401,625x = 386,737,221,924
  5. Step 5: Solve for x
    x = 386,737,221,924/401,625
  6. Step 6: Final answer
    x = 962,931.15

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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.