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Finding the Third Proportional to 30,681 and 71,703

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Solution

The third proportional to 30,681 and 71,703 is: 167,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681 : 71,703 = 71,703 : x
  2. Step 2: Convert to fraction form
    30,681/71,703 = 71,703/x
  3. Step 3: Cross multiply
    30,681x = 71,703 × 71,703
  4. Step 4: Simplify right side
    30,681x = 5,141,320,209
  5. Step 5: Solve for x
    x = 5,141,320,209/30,681
  6. Step 6: Final answer
    x = 167,573.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.