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Finding the Third Proportional to 296,064.75 and 698,436.38

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Solution

The third proportional to 296,064.75 and 698,436.38 is: 1,647,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,064.75 : 698,436.38 = 698,436.38 : x
  2. Step 2: Convert to fraction form
    296,064.75/698,436.38 = 698,436.38/x
  3. Step 3: Cross multiply
    296,064.75x = 698,436.38 × 698,436.38
  4. Step 4: Simplify right side
    296,064.75x = 487,813,369,923.14
  5. Step 5: Solve for x
    x = 487,813,369,923.14/296,064.75
  6. Step 6: Final answer
    x = 1,647,657.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.