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Finding the Third Proportional to 666,414 and 1,439,268

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Solution

The third proportional to 666,414 and 1,439,268 is: 3,108,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,414 : 1,439,268 = 1,439,268 : x
  2. Step 2: Convert to fraction form
    666,414/1,439,268 = 1,439,268/x
  3. Step 3: Cross multiply
    666,414x = 1,439,268 × 1,439,268
  4. Step 4: Simplify right side
    666,414x = 2,071,492,375,824
  5. Step 5: Solve for x
    x = 2,071,492,375,824/666,414
  6. Step 6: Final answer
    x = 3,108,416.65

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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.