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Finding the Third Proportional to 198,406.13 and 428,176.13

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Solution

The third proportional to 198,406.13 and 428,176.13 is: 924,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,406.13 : 428,176.13 = 428,176.13 : x
  2. Step 2: Convert to fraction form
    198,406.13/428,176.13 = 428,176.13/x
  3. Step 3: Cross multiply
    198,406.13x = 428,176.13 × 428,176.13
  4. Step 4: Simplify right side
    198,406.13x = 183,334,794,020.02
  5. Step 5: Solve for x
    x = 183,334,794,020.02/198,406.13
  6. Step 6: Final answer
    x = 924,037.98

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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.