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Finding the Third Proportional to 198,325.13 and 289,180.13

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Solution

The third proportional to 198,325.13 and 289,180.13 is: 421,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,325.13 : 289,180.13 = 289,180.13 : x
  2. Step 2: Convert to fraction form
    198,325.13/289,180.13 = 289,180.13/x
  3. Step 3: Cross multiply
    198,325.13x = 289,180.13 × 289,180.13
  4. Step 4: Simplify right side
    198,325.13x = 83,625,144,695.02
  5. Step 5: Solve for x
    x = 83,625,144,695.02/198,325.13
  6. Step 6: Final answer
    x = 421,656.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.