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Finding the Third Proportional to 31,221.70 and 47,609.65

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Solution

The third proportional to 31,221.70 and 47,609.65 is: 72,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221.70 : 47,609.65 = 47,609.65 : x
  2. Step 2: Convert to fraction form
    31,221.70/47,609.65 = 47,609.65/x
  3. Step 3: Cross multiply
    31,221.70x = 47,609.65 × 47,609.65
  4. Step 4: Simplify right side
    31,221.70x = 2,266,678,624.34
  5. Step 5: Solve for x
    x = 2,266,678,624.34/31,221.70
  6. Step 6: Final answer
    x = 72,599.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.