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Finding the Third Proportional to 312,418 and 666,276

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Solution

The third proportional to 312,418 and 666,276 is: 1,420,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,418 : 666,276 = 666,276 : x
  2. Step 2: Convert to fraction form
    312,418/666,276 = 666,276/x
  3. Step 3: Cross multiply
    312,418x = 666,276 × 666,276
  4. Step 4: Simplify right side
    312,418x = 443,923,708,176
  5. Step 5: Solve for x
    x = 443,923,708,176/312,418
  6. Step 6: Final answer
    x = 1,420,928.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.