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Finding the Third Proportional to 666,399 and 1,299,579

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Solution

The third proportional to 666,399 and 1,299,579 is: 2,534,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,399 : 1,299,579 = 1,299,579 : x
  2. Step 2: Convert to fraction form
    666,399/1,299,579 = 1,299,579/x
  3. Step 3: Cross multiply
    666,399x = 1,299,579 × 1,299,579
  4. Step 4: Simplify right side
    666,399x = 1,688,905,577,241
  5. Step 5: Solve for x
    x = 1,688,905,577,241/666,399
  6. Step 6: Final answer
    x = 2,534,375.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.