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Finding the Third Proportional to 216,860 and 345,000

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Solution

The third proportional to 216,860 and 345,000 is: 548,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,860 : 345,000 = 345,000 : x
  2. Step 2: Convert to fraction form
    216,860/345,000 = 345,000/x
  3. Step 3: Cross multiply
    216,860x = 345,000 × 345,000
  4. Step 4: Simplify right side
    216,860x = 119,025,000,000
  5. Step 5: Solve for x
    x = 119,025,000,000/216,860
  6. Step 6: Final answer
    x = 548,856.41

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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.