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Finding the Third Proportional to 66,853.69 and 139,311.56

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Solution

The third proportional to 66,853.69 and 139,311.56 is: 290,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,853.69 : 139,311.56 = 139,311.56 : x
  2. Step 2: Convert to fraction form
    66,853.69/139,311.56 = 139,311.56/x
  3. Step 3: Cross multiply
    66,853.69x = 139,311.56 × 139,311.56
  4. Step 4: Simplify right side
    66,853.69x = 19,407,711,446.19
  5. Step 5: Solve for x
    x = 19,407,711,446.19/66,853.69
  6. Step 6: Final answer
    x = 290,301.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.