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Finding the Third Proportional to 305,874 and 660,948

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Solution

The third proportional to 305,874 and 660,948 is: 1,428,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874 : 660,948 = 660,948 : x
  2. Step 2: Convert to fraction form
    305,874/660,948 = 660,948/x
  3. Step 3: Cross multiply
    305,874x = 660,948 × 660,948
  4. Step 4: Simplify right side
    305,874x = 436,852,258,704
  5. Step 5: Solve for x
    x = 436,852,258,704/305,874
  6. Step 6: Final answer
    x = 1,428,209.85

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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.