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Finding the Third Proportional to 394,895 and 577,532

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Solution

The third proportional to 394,895 and 577,532 is: 844,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,895 : 577,532 = 577,532 : x
  2. Step 2: Convert to fraction form
    394,895/577,532 = 577,532/x
  3. Step 3: Cross multiply
    394,895x = 577,532 × 577,532
  4. Step 4: Simplify right side
    394,895x = 333,543,211,024
  5. Step 5: Solve for x
    x = 333,543,211,024/394,895
  6. Step 6: Final answer
    x = 844,637.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.