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Finding the Third Proportional to 216,167 and 345,331.50

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Solution

The third proportional to 216,167 and 345,331.50 is: 551,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,167 : 345,331.50 = 345,331.50 : x
  2. Step 2: Convert to fraction form
    216,167/345,331.50 = 345,331.50/x
  3. Step 3: Cross multiply
    216,167x = 345,331.50 × 345,331.50
  4. Step 4: Simplify right side
    216,167x = 119,253,844,892.25
  5. Step 5: Solve for x
    x = 119,253,844,892.25/216,167
  6. Step 6: Final answer
    x = 551,674.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.