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Finding the Third Proportional to 218,354 and 347,213

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Solution

The third proportional to 218,354 and 347,213 is: 552,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,354 : 347,213 = 347,213 : x
  2. Step 2: Convert to fraction form
    218,354/347,213 = 347,213/x
  3. Step 3: Cross multiply
    218,354x = 347,213 × 347,213
  4. Step 4: Simplify right side
    218,354x = 120,556,867,369
  5. Step 5: Solve for x
    x = 120,556,867,369/218,354
  6. Step 6: Final answer
    x = 552,116.60

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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.