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Finding the Third Proportional to 256,914 and 395,199

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Solution

The third proportional to 256,914 and 395,199 is: 607,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,914 : 395,199 = 395,199 : x
  2. Step 2: Convert to fraction form
    256,914/395,199 = 395,199/x
  3. Step 3: Cross multiply
    256,914x = 395,199 × 395,199
  4. Step 4: Simplify right side
    256,914x = 156,182,249,601
  5. Step 5: Solve for x
    x = 156,182,249,601/256,914
  6. Step 6: Final answer
    x = 607,916.46

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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.