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Finding the Third Proportional to 31,574.81 and 68,210.44

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Solution

The third proportional to 31,574.81 and 68,210.44 is: 147,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.81 : 68,210.44 = 68,210.44 : x
  2. Step 2: Convert to fraction form
    31,574.81/68,210.44 = 68,210.44/x
  3. Step 3: Cross multiply
    31,574.81x = 68,210.44 × 68,210.44
  4. Step 4: Simplify right side
    31,574.81x = 4,652,663,783.94
  5. Step 5: Solve for x
    x = 4,652,663,783.94/31,574.81
  6. Step 6: Final answer
    x = 147,353.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.