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Finding the Third Proportional to 93,643 and 204,803

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Solution

The third proportional to 93,643 and 204,803 is: 447,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,643 : 204,803 = 204,803 : x
  2. Step 2: Convert to fraction form
    93,643/204,803 = 204,803/x
  3. Step 3: Cross multiply
    93,643x = 204,803 × 204,803
  4. Step 4: Simplify right side
    93,643x = 41,944,268,809
  5. Step 5: Solve for x
    x = 41,944,268,809/93,643
  6. Step 6: Final answer
    x = 447,916.76

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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.