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Finding the Third Proportional to 216,126 and 347,254.50

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Solution

The third proportional to 216,126 and 347,254.50 is: 557,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,126 : 347,254.50 = 347,254.50 : x
  2. Step 2: Convert to fraction form
    216,126/347,254.50 = 347,254.50/x
  3. Step 3: Cross multiply
    216,126x = 347,254.50 × 347,254.50
  4. Step 4: Simplify right side
    216,126x = 120,585,687,770.25
  5. Step 5: Solve for x
    x = 120,585,687,770.25/216,126
  6. Step 6: Final answer
    x = 557,941.61

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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.