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Finding the Third Proportional to 93,834 and 137,103.75

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Solution

The third proportional to 93,834 and 137,103.75 is: 200,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,834 : 137,103.75 = 137,103.75 : x
  2. Step 2: Convert to fraction form
    93,834/137,103.75 = 137,103.75/x
  3. Step 3: Cross multiply
    93,834x = 137,103.75 × 137,103.75
  4. Step 4: Simplify right side
    93,834x = 18,797,438,264.06
  5. Step 5: Solve for x
    x = 18,797,438,264.06/93,834
  6. Step 6: Final answer
    x = 200,326.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.