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Finding the Third Proportional to 93,633 and 204,782.50

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Solution

The third proportional to 93,633 and 204,782.50 is: 447,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,633 : 204,782.50 = 204,782.50 : x
  2. Step 2: Convert to fraction form
    93,633/204,782.50 = 204,782.50/x
  3. Step 3: Cross multiply
    93,633x = 204,782.50 × 204,782.50
  4. Step 4: Simplify right side
    93,633x = 41,935,872,306.25
  5. Step 5: Solve for x
    x = 41,935,872,306.25/93,633
  6. Step 6: Final answer
    x = 447,874.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.