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Finding the Third Proportional to 68,312.81 and 103,422.38

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Solution

The third proportional to 68,312.81 and 103,422.38 is: 156,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,312.81 : 103,422.38 = 103,422.38 : x
  2. Step 2: Convert to fraction form
    68,312.81/103,422.38 = 103,422.38/x
  3. Step 3: Cross multiply
    68,312.81x = 103,422.38 × 103,422.38
  4. Step 4: Simplify right side
    68,312.81x = 10,696,187,650.64
  5. Step 5: Solve for x
    x = 10,696,187,650.64/68,312.81
  6. Step 6: Final answer
    x = 156,576.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.