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Finding the Third Proportional to 31,678.17 and 68,584.64

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Solution

The third proportional to 31,678.17 and 68,584.64 is: 148,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.17 : 68,584.64 = 68,584.64 : x
  2. Step 2: Convert to fraction form
    31,678.17/68,584.64 = 68,584.64/x
  3. Step 3: Cross multiply
    31,678.17x = 68,584.64 × 68,584.64
  4. Step 4: Simplify right side
    31,678.17x = 4,703,852,929.66
  5. Step 5: Solve for x
    x = 4,703,852,929.66/31,678.17
  6. Step 6: Final answer
    x = 148,488.77

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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.