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Finding the Third Proportional to 216,126 and 347,254

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Solution

The third proportional to 216,126 and 347,254 is: 557,940.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,126 : 347,254 = 347,254 : x
  2. Step 2: Convert to fraction form
    216,126/347,254 = 347,254/x
  3. Step 3: Cross multiply
    216,126x = 347,254 × 347,254
  4. Step 4: Simplify right side
    216,126x = 120,585,340,516
  5. Step 5: Solve for x
    x = 120,585,340,516/216,126
  6. Step 6: Final answer
    x = 557,940.00

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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.