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Finding the Third Proportional to 153,809 and 337,861

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Solution

The third proportional to 153,809 and 337,861 is: 742,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,809 : 337,861 = 337,861 : x
  2. Step 2: Convert to fraction form
    153,809/337,861 = 337,861/x
  3. Step 3: Cross multiply
    153,809x = 337,861 × 337,861
  4. Step 4: Simplify right side
    153,809x = 114,150,055,321
  5. Step 5: Solve for x
    x = 114,150,055,321/153,809
  6. Step 6: Final answer
    x = 742,154.59

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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.