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Finding the Third Proportional to 666,569 and 1,434,291

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Solution

The third proportional to 666,569 and 1,434,291 is: 3,086,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,569 : 1,434,291 = 1,434,291 : x
  2. Step 2: Convert to fraction form
    666,569/1,434,291 = 1,434,291/x
  3. Step 3: Cross multiply
    666,569x = 1,434,291 × 1,434,291
  4. Step 4: Simplify right side
    666,569x = 2,057,190,672,681
  5. Step 5: Solve for x
    x = 2,057,190,672,681/666,569
  6. Step 6: Final answer
    x = 3,086,238.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.