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Finding the Third Proportional to 93,488 and 202,750

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Solution

The third proportional to 93,488 and 202,750 is: 439,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,488 : 202,750 = 202,750 : x
  2. Step 2: Convert to fraction form
    93,488/202,750 = 202,750/x
  3. Step 3: Cross multiply
    93,488x = 202,750 × 202,750
  4. Step 4: Simplify right side
    93,488x = 41,107,562,500
  5. Step 5: Solve for x
    x = 41,107,562,500/93,488
  6. Step 6: Final answer
    x = 439,709.51

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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.