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Finding the Third Proportional to 93,350 and 141,972

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Solution

The third proportional to 93,350 and 141,972 is: 215,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,350 : 141,972 = 141,972 : x
  2. Step 2: Convert to fraction form
    93,350/141,972 = 141,972/x
  3. Step 3: Cross multiply
    93,350x = 141,972 × 141,972
  4. Step 4: Simplify right side
    93,350x = 20,156,048,784
  5. Step 5: Solve for x
    x = 20,156,048,784/93,350
  6. Step 6: Final answer
    x = 215,919.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.