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Finding the Third Proportional to 145,164.38 and 312,575.25

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Solution

The third proportional to 145,164.38 and 312,575.25 is: 673,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,164.38 : 312,575.25 = 312,575.25 : x
  2. Step 2: Convert to fraction form
    145,164.38/312,575.25 = 312,575.25/x
  3. Step 3: Cross multiply
    145,164.38x = 312,575.25 × 312,575.25
  4. Step 4: Simplify right side
    145,164.38x = 97,703,286,912.56
  5. Step 5: Solve for x
    x = 97,703,286,912.56/145,164.38
  6. Step 6: Final answer
    x = 673,052.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.