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Finding the Third Proportional to 254,952 and 393,408

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Solution

The third proportional to 254,952 and 393,408 is: 607,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,952 : 393,408 = 393,408 : x
  2. Step 2: Convert to fraction form
    254,952/393,408 = 393,408/x
  3. Step 3: Cross multiply
    254,952x = 393,408 × 393,408
  4. Step 4: Simplify right side
    254,952x = 154,769,854,464
  5. Step 5: Solve for x
    x = 154,769,854,464/254,952
  6. Step 6: Final answer
    x = 607,054.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.