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Finding the Third Proportional to 125,678 and 175,803

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Solution

The third proportional to 125,678 and 175,803 is: 245,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678 : 175,803 = 175,803 : x
  2. Step 2: Convert to fraction form
    125,678/175,803 = 175,803/x
  3. Step 3: Cross multiply
    125,678x = 175,803 × 175,803
  4. Step 4: Simplify right side
    125,678x = 30,906,694,809
  5. Step 5: Solve for x
    x = 30,906,694,809/125,678
  6. Step 6: Final answer
    x = 245,919.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.