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Finding the Third Proportional to 356,578.88 and 485,660.81

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Solution

The third proportional to 356,578.88 and 485,660.81 is: 661,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,578.88 : 485,660.81 = 485,660.81 : x
  2. Step 2: Convert to fraction form
    356,578.88/485,660.81 = 485,660.81/x
  3. Step 3: Cross multiply
    356,578.88x = 485,660.81 × 485,660.81
  4. Step 4: Simplify right side
    356,578.88x = 235,866,424,798.16
  5. Step 5: Solve for x
    x = 235,866,424,798.16/356,578.88
  6. Step 6: Final answer
    x = 661,470.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.