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Finding the Third Proportional to 218,332 and 347,181

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Solution

The third proportional to 218,332 and 347,181 is: 552,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,332 : 347,181 = 347,181 : x
  2. Step 2: Convert to fraction form
    218,332/347,181 = 347,181/x
  3. Step 3: Cross multiply
    218,332x = 347,181 × 347,181
  4. Step 4: Simplify right side
    218,332x = 120,534,646,761
  5. Step 5: Solve for x
    x = 120,534,646,761/218,332
  6. Step 6: Final answer
    x = 552,070.46

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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.