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Finding the Third Proportional to 414,648 and 660,108

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Solution

The third proportional to 414,648 and 660,108 is: 1,050,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,648 : 660,108 = 660,108 : x
  2. Step 2: Convert to fraction form
    414,648/660,108 = 660,108/x
  3. Step 3: Cross multiply
    414,648x = 660,108 × 660,108
  4. Step 4: Simplify right side
    414,648x = 435,742,571,664
  5. Step 5: Solve for x
    x = 435,742,571,664/414,648
  6. Step 6: Final answer
    x = 1,050,873.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.