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Finding the Third Proportional to 30,712.13 and 66,982.88

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Solution

The third proportional to 30,712.13 and 66,982.88 is: 146,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.13 : 66,982.88 = 66,982.88 : x
  2. Step 2: Convert to fraction form
    30,712.13/66,982.88 = 66,982.88/x
  3. Step 3: Cross multiply
    30,712.13x = 66,982.88 × 66,982.88
  4. Step 4: Simplify right side
    30,712.13x = 4,486,705,543.27
  5. Step 5: Solve for x
    x = 4,486,705,543.27/30,712.13
  6. Step 6: Final answer
    x = 146,089.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.