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Finding the Third Proportional to 94,881 and 203,832

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Solution

The third proportional to 94,881 and 203,832 is: 437,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,881 : 203,832 = 203,832 : x
  2. Step 2: Convert to fraction form
    94,881/203,832 = 203,832/x
  3. Step 3: Cross multiply
    94,881x = 203,832 × 203,832
  4. Step 4: Simplify right side
    94,881x = 41,547,484,224
  5. Step 5: Solve for x
    x = 41,547,484,224/94,881
  6. Step 6: Final answer
    x = 437,890.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.