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Finding the Third Proportional to 458,868.38 and 645,036.75

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Solution

The third proportional to 458,868.38 and 645,036.75 is: 906,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,868.38 : 645,036.75 = 645,036.75 : x
  2. Step 2: Convert to fraction form
    458,868.38/645,036.75 = 645,036.75/x
  3. Step 3: Cross multiply
    458,868.38x = 645,036.75 × 645,036.75
  4. Step 4: Simplify right side
    458,868.38x = 416,072,408,850.56
  5. Step 5: Solve for x
    x = 416,072,408,850.56/458,868.38
  6. Step 6: Final answer
    x = 906,735.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.