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Finding the Third Proportional to 93,089 and 143,846

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Solution

The third proportional to 93,089 and 143,846 is: 222,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,089 : 143,846 = 143,846 : x
  2. Step 2: Convert to fraction form
    93,089/143,846 = 143,846/x
  3. Step 3: Cross multiply
    93,089x = 143,846 × 143,846
  4. Step 4: Simplify right side
    93,089x = 20,691,671,716
  5. Step 5: Solve for x
    x = 20,691,671,716/93,089
  6. Step 6: Final answer
    x = 222,278.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.