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Finding the Third Proportional to 666,738 and 1,438,470.75

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Solution

The third proportional to 666,738 and 1,438,470.75 is: 3,103,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,738 : 1,438,470.75 = 1,438,470.75 : x
  2. Step 2: Convert to fraction form
    666,738/1,438,470.75 = 1,438,470.75/x
  3. Step 3: Cross multiply
    666,738x = 1,438,470.75 × 1,438,470.75
  4. Step 4: Simplify right side
    666,738x = 2,069,198,098,605.56
  5. Step 5: Solve for x
    x = 2,069,198,098,605.56/666,738
  6. Step 6: Final answer
    x = 3,103,465.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.