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Finding the Third Proportional to 378,930.38 and 572,330.25

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Solution

The third proportional to 378,930.38 and 572,330.25 is: 864,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,930.38 : 572,330.25 = 572,330.25 : x
  2. Step 2: Convert to fraction form
    378,930.38/572,330.25 = 572,330.25/x
  3. Step 3: Cross multiply
    378,930.38x = 572,330.25 × 572,330.25
  4. Step 4: Simplify right side
    378,930.38x = 327,561,915,065.06
  5. Step 5: Solve for x
    x = 327,561,915,065.06/378,930.38
  6. Step 6: Final answer
    x = 864,438.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.