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Finding the Third Proportional to 158,439 and 344,203

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Solution

The third proportional to 158,439 and 344,203 is: 747,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,439 : 344,203 = 344,203 : x
  2. Step 2: Convert to fraction form
    158,439/344,203 = 344,203/x
  3. Step 3: Cross multiply
    158,439x = 344,203 × 344,203
  4. Step 4: Simplify right side
    158,439x = 118,475,705,209
  5. Step 5: Solve for x
    x = 118,475,705,209/158,439
  6. Step 6: Final answer
    x = 747,768.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.