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Finding the Third Proportional to 256,398 and 342,837

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Solution

The third proportional to 256,398 and 342,837 is: 458,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,398 : 342,837 = 342,837 : x
  2. Step 2: Convert to fraction form
    256,398/342,837 = 342,837/x
  3. Step 3: Cross multiply
    256,398x = 342,837 × 342,837
  4. Step 4: Simplify right side
    256,398x = 117,537,208,569
  5. Step 5: Solve for x
    x = 117,537,208,569/256,398
  6. Step 6: Final answer
    x = 458,417.03

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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.