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Finding the Third Proportional to 256,394 and 342,831

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Solution

The third proportional to 256,394 and 342,831 is: 458,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394 : 342,831 = 342,831 : x
  2. Step 2: Convert to fraction form
    256,394/342,831 = 342,831/x
  3. Step 3: Cross multiply
    256,394x = 342,831 × 342,831
  4. Step 4: Simplify right side
    256,394x = 117,533,094,561
  5. Step 5: Solve for x
    x = 117,533,094,561/256,394
  6. Step 6: Final answer
    x = 458,408.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.