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Finding the Third Proportional to 384,722.44 and 660,118.78

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Solution

The third proportional to 384,722.44 and 660,118.78 is: 1,132,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,722.44 : 660,118.78 = 660,118.78 : x
  2. Step 2: Convert to fraction form
    384,722.44/660,118.78 = 660,118.78/x
  3. Step 3: Cross multiply
    384,722.44x = 660,118.78 × 660,118.78
  4. Step 4: Simplify right side
    384,722.44x = 435,756,805,358.99
  5. Step 5: Solve for x
    x = 435,756,805,358.99/384,722.44
  6. Step 6: Final answer
    x = 1,132,652.43

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.