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Finding the Third Proportional to 256,396 and 342,834

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Solution

The third proportional to 256,396 and 342,834 is: 458,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,396 : 342,834 = 342,834 : x
  2. Step 2: Convert to fraction form
    256,396/342,834 = 342,834/x
  3. Step 3: Cross multiply
    256,396x = 342,834 × 342,834
  4. Step 4: Simplify right side
    256,396x = 117,535,151,556
  5. Step 5: Solve for x
    x = 117,535,151,556/256,396
  6. Step 6: Final answer
    x = 458,412.58

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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.