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Finding the Third Proportional to 220,278 and 340,809

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Solution

The third proportional to 220,278 and 340,809 is: 527,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,278 : 340,809 = 340,809 : x
  2. Step 2: Convert to fraction form
    220,278/340,809 = 340,809/x
  3. Step 3: Cross multiply
    220,278x = 340,809 × 340,809
  4. Step 4: Simplify right side
    220,278x = 116,150,774,481
  5. Step 5: Solve for x
    x = 116,150,774,481/220,278
  6. Step 6: Final answer
    x = 527,291.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.