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Finding the Third Proportional to 93,467 and 202,710

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Solution

The third proportional to 93,467 and 202,710 is: 439,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,467 : 202,710 = 202,710 : x
  2. Step 2: Convert to fraction form
    93,467/202,710 = 202,710/x
  3. Step 3: Cross multiply
    93,467x = 202,710 × 202,710
  4. Step 4: Simplify right side
    93,467x = 41,091,344,100
  5. Step 5: Solve for x
    x = 41,091,344,100/93,467
  6. Step 6: Final answer
    x = 439,634.78

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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.