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Finding the Third Proportional to 159,230 and 349,078

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Solution

The third proportional to 159,230 and 349,078 is: 765,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,230 : 349,078 = 349,078 : x
  2. Step 2: Convert to fraction form
    159,230/349,078 = 349,078/x
  3. Step 3: Cross multiply
    159,230x = 349,078 × 349,078
  4. Step 4: Simplify right side
    159,230x = 121,855,450,084
  5. Step 5: Solve for x
    x = 121,855,450,084/159,230
  6. Step 6: Final answer
    x = 765,279.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.