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Finding the Third Proportional to 316,638 and 666,078

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Solution

The third proportional to 316,638 and 666,078 is: 1,401,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,638 : 666,078 = 666,078 : x
  2. Step 2: Convert to fraction form
    316,638/666,078 = 666,078/x
  3. Step 3: Cross multiply
    316,638x = 666,078 × 666,078
  4. Step 4: Simplify right side
    316,638x = 443,659,902,084
  5. Step 5: Solve for x
    x = 443,659,902,084/316,638
  6. Step 6: Final answer
    x = 1,401,158.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.