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Finding the Third Proportional to 93,498 and 202,548

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Solution

The third proportional to 93,498 and 202,548 is: 438,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,498 : 202,548 = 202,548 : x
  2. Step 2: Convert to fraction form
    93,498/202,548 = 202,548/x
  3. Step 3: Cross multiply
    93,498x = 202,548 × 202,548
  4. Step 4: Simplify right side
    93,498x = 41,025,692,304
  5. Step 5: Solve for x
    x = 41,025,692,304/93,498
  6. Step 6: Final answer
    x = 438,786.84

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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.