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Finding the Third Proportional to 256,685.84 and 399,028.78

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Solution

The third proportional to 256,685.84 and 399,028.78 is: 620,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,685.84 : 399,028.78 = 399,028.78 : x
  2. Step 2: Convert to fraction form
    256,685.84/399,028.78 = 399,028.78/x
  3. Step 3: Cross multiply
    256,685.84x = 399,028.78 × 399,028.78
  4. Step 4: Simplify right side
    256,685.84x = 159,223,968,265.86
  5. Step 5: Solve for x
    x = 159,223,968,265.86/256,685.84
  6. Step 6: Final answer
    x = 620,306.80

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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.