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Finding the Third Proportional to 216,124 and 347,251

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Solution

The third proportional to 216,124 and 347,251 is: 557,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,124 : 347,251 = 347,251 : x
  2. Step 2: Convert to fraction form
    216,124/347,251 = 347,251/x
  3. Step 3: Cross multiply
    216,124x = 347,251 × 347,251
  4. Step 4: Simplify right side
    216,124x = 120,583,257,001
  5. Step 5: Solve for x
    x = 120,583,257,001/216,124
  6. Step 6: Final answer
    x = 557,935.52

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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.