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Finding the Third Proportional to 31,775.41 and 68,470.95

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Solution

The third proportional to 31,775.41 and 68,470.95 is: 147,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.41 : 68,470.95 = 68,470.95 : x
  2. Step 2: Convert to fraction form
    31,775.41/68,470.95 = 68,470.95/x
  3. Step 3: Cross multiply
    31,775.41x = 68,470.95 × 68,470.95
  4. Step 4: Simplify right side
    31,775.41x = 4,688,270,351.99
  5. Step 5: Solve for x
    x = 4,688,270,351.99/31,775.41
  6. Step 6: Final answer
    x = 147,543.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.