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Finding the Third Proportional to 218,306 and 347,142

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Solution

The third proportional to 218,306 and 347,142 is: 552,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,306 : 347,142 = 347,142 : x
  2. Step 2: Convert to fraction form
    218,306/347,142 = 347,142/x
  3. Step 3: Cross multiply
    218,306x = 347,142 × 347,142
  4. Step 4: Simplify right side
    218,306x = 120,507,568,164
  5. Step 5: Solve for x
    x = 120,507,568,164/218,306
  6. Step 6: Final answer
    x = 552,012.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.