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Finding the Third Proportional to 120,828 and 185,803

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Solution

The third proportional to 120,828 and 185,803 is: 285,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,828 : 185,803 = 185,803 : x
  2. Step 2: Convert to fraction form
    120,828/185,803 = 185,803/x
  3. Step 3: Cross multiply
    120,828x = 185,803 × 185,803
  4. Step 4: Simplify right side
    120,828x = 34,522,754,809
  5. Step 5: Solve for x
    x = 34,522,754,809/120,828
  6. Step 6: Final answer
    x = 285,718.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.