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Finding the Third Proportional to 378,972.75 and 572,408

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Solution

The third proportional to 378,972.75 and 572,408 is: 864,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,972.75 : 572,408 = 572,408 : x
  2. Step 2: Convert to fraction form
    378,972.75/572,408 = 572,408/x
  3. Step 3: Cross multiply
    378,972.75x = 572,408 × 572,408
  4. Step 4: Simplify right side
    378,972.75x = 327,650,918,464
  5. Step 5: Solve for x
    x = 327,650,918,464/378,972.75
  6. Step 6: Final answer
    x = 864,576.46

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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.