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Finding the Third Proportional to 667,070 and 998,781

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Solution

The third proportional to 667,070 and 998,781 is: 1,495,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,070 : 998,781 = 998,781 : x
  2. Step 2: Convert to fraction form
    667,070/998,781 = 998,781/x
  3. Step 3: Cross multiply
    667,070x = 998,781 × 998,781
  4. Step 4: Simplify right side
    667,070x = 997,563,485,961
  5. Step 5: Solve for x
    x = 997,563,485,961/667,070
  6. Step 6: Final answer
    x = 1,495,440.49

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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.