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Finding the Third Proportional to 666,971 and 998,622

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Solution

The third proportional to 666,971 and 998,622 is: 1,495,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,971 : 998,622 = 998,622 : x
  2. Step 2: Convert to fraction form
    666,971/998,622 = 998,622/x
  3. Step 3: Cross multiply
    666,971x = 998,622 × 998,622
  4. Step 4: Simplify right side
    666,971x = 997,245,898,884
  5. Step 5: Solve for x
    x = 997,245,898,884/666,971
  6. Step 6: Final answer
    x = 1,495,186.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.