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Finding the Third Proportional to 153,812 and 337,867

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Solution

The third proportional to 153,812 and 337,867 is: 742,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,812 : 337,867 = 337,867 : x
  2. Step 2: Convert to fraction form
    153,812/337,867 = 337,867/x
  3. Step 3: Cross multiply
    153,812x = 337,867 × 337,867
  4. Step 4: Simplify right side
    153,812x = 114,154,109,689
  5. Step 5: Solve for x
    x = 114,154,109,689/153,812
  6. Step 6: Final answer
    x = 742,166.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.