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Finding the Third Proportional to 218,352 and 347,210

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Solution

The third proportional to 218,352 and 347,210 is: 552,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,352 : 347,210 = 347,210 : x
  2. Step 2: Convert to fraction form
    218,352/347,210 = 347,210/x
  3. Step 3: Cross multiply
    218,352x = 347,210 × 347,210
  4. Step 4: Simplify right side
    218,352x = 120,554,784,100
  5. Step 5: Solve for x
    x = 120,554,784,100/218,352
  6. Step 6: Final answer
    x = 552,112.11

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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.