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Finding the Third Proportional to 216,128 and 347,257

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Solution

The third proportional to 216,128 and 347,257 is: 557,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,128 : 347,257 = 347,257 : x
  2. Step 2: Convert to fraction form
    216,128/347,257 = 347,257/x
  3. Step 3: Cross multiply
    216,128x = 347,257 × 347,257
  4. Step 4: Simplify right side
    216,128x = 120,587,424,049
  5. Step 5: Solve for x
    x = 120,587,424,049/216,128
  6. Step 6: Final answer
    x = 557,944.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.