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Finding the Third Proportional to 454,729.13 and 990,189.38

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Solution

The third proportional to 454,729.13 and 990,189.38 is: 2,156,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,729.13 : 990,189.38 = 990,189.38 : x
  2. Step 2: Convert to fraction form
    454,729.13/990,189.38 = 990,189.38/x
  3. Step 3: Cross multiply
    454,729.13x = 990,189.38 × 990,189.38
  4. Step 4: Simplify right side
    454,729.13x = 980,474,998,362.89
  5. Step 5: Solve for x
    x = 980,474,998,362.89/454,729.13
  6. Step 6: Final answer
    x = 2,156,173.74

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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.