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Finding the Third Proportional to 93,508 and 206,703

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Solution

The third proportional to 93,508 and 206,703 is: 456,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,508 : 206,703 = 206,703 : x
  2. Step 2: Convert to fraction form
    93,508/206,703 = 206,703/x
  3. Step 3: Cross multiply
    93,508x = 206,703 × 206,703
  4. Step 4: Simplify right side
    93,508x = 42,726,130,209
  5. Step 5: Solve for x
    x = 42,726,130,209/93,508
  6. Step 6: Final answer
    x = 456,924.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.