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Finding the Third Proportional to 93,543 and 205,195

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Solution

The third proportional to 93,543 and 205,195 is: 450,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,543 : 205,195 = 205,195 : x
  2. Step 2: Convert to fraction form
    93,543/205,195 = 205,195/x
  3. Step 3: Cross multiply
    93,543x = 205,195 × 205,195
  4. Step 4: Simplify right side
    93,543x = 42,104,988,025
  5. Step 5: Solve for x
    x = 42,104,988,025/93,543
  6. Step 6: Final answer
    x = 450,113.72

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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.