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Finding the Third Proportional to 7,989,825 and 17,474,418

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Solution

The third proportional to 7,989,825 and 17,474,418 is: 38,218,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989,825 : 17,474,418 = 17,474,418 : x
  2. Step 2: Convert to fraction form
    7,989,825/17,474,418 = 17,474,418/x
  3. Step 3: Cross multiply
    7,989,825x = 17,474,418 × 17,474,418
  4. Step 4: Simplify right side
    7,989,825x = 305,355,284,438,724
  5. Step 5: Solve for x
    x = 305,355,284,438,724/7,989,825
  6. Step 6: Final answer
    x = 38,218,019.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.