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Finding the Third Proportional to 30,709.13 and 82,726.31

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Solution

The third proportional to 30,709.13 and 82,726.31 is: 222,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 82,726.31 = 82,726.31 : x
  2. Step 2: Convert to fraction form
    30,709.13/82,726.31 = 82,726.31/x
  3. Step 3: Cross multiply
    30,709.13x = 82,726.31 × 82,726.31
  4. Step 4: Simplify right side
    30,709.13x = 6,843,642,779.85
  5. Step 5: Solve for x
    x = 6,843,642,779.85/30,709.13
  6. Step 6: Final answer
    x = 222,853.72

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.