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Finding the Third Proportional to 31,715.44 and 68,897.81

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Solution

The third proportional to 31,715.44 and 68,897.81 is: 149,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.44 : 68,897.81 = 68,897.81 : x
  2. Step 2: Convert to fraction form
    31,715.44/68,897.81 = 68,897.81/x
  3. Step 3: Cross multiply
    31,715.44x = 68,897.81 × 68,897.81
  4. Step 4: Simplify right side
    31,715.44x = 4,746,908,567.29
  5. Step 5: Solve for x
    x = 4,746,908,567.29/31,715.44
  6. Step 6: Final answer
    x = 149,671.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.