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Finding the Third Proportional to 93,476.25 and 202,806

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Solution

The third proportional to 93,476.25 and 202,806 is: 440,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,476.25 : 202,806 = 202,806 : x
  2. Step 2: Convert to fraction form
    93,476.25/202,806 = 202,806/x
  3. Step 3: Cross multiply
    93,476.25x = 202,806 × 202,806
  4. Step 4: Simplify right side
    93,476.25x = 41,130,273,636
  5. Step 5: Solve for x
    x = 41,130,273,636/93,476.25
  6. Step 6: Final answer
    x = 440,007.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.