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Finding the Third Proportional to 218,588 and 347,578

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Solution

The third proportional to 218,588 and 347,578 is: 552,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,588 : 347,578 = 347,578 : x
  2. Step 2: Convert to fraction form
    218,588/347,578 = 347,578/x
  3. Step 3: Cross multiply
    218,588x = 347,578 × 347,578
  4. Step 4: Simplify right side
    218,588x = 120,810,466,084
  5. Step 5: Solve for x
    x = 120,810,466,084/218,588
  6. Step 6: Final answer
    x = 552,685.72

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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.