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Finding the Third Proportional to 198,074 and 427,712

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Solution

The third proportional to 198,074 and 427,712 is: 923,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,074 : 427,712 = 427,712 : x
  2. Step 2: Convert to fraction form
    198,074/427,712 = 427,712/x
  3. Step 3: Cross multiply
    198,074x = 427,712 × 427,712
  4. Step 4: Simplify right side
    198,074x = 182,937,554,944
  5. Step 5: Solve for x
    x = 182,937,554,944/198,074
  6. Step 6: Final answer
    x = 923,581.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.