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Finding the Third Proportional to 198,774 and 432,540

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Solution

The third proportional to 198,774 and 432,540 is: 941,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,774 : 432,540 = 432,540 : x
  2. Step 2: Convert to fraction form
    198,774/432,540 = 432,540/x
  3. Step 3: Cross multiply
    198,774x = 432,540 × 432,540
  4. Step 4: Simplify right side
    198,774x = 187,090,851,600
  5. Step 5: Solve for x
    x = 187,090,851,600/198,774
  6. Step 6: Final answer
    x = 941,223.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.