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Finding the Third Proportional to 93,566 and 198,352

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Solution

The third proportional to 93,566 and 198,352 is: 420,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,566 : 198,352 = 198,352 : x
  2. Step 2: Convert to fraction form
    93,566/198,352 = 198,352/x
  3. Step 3: Cross multiply
    93,566x = 198,352 × 198,352
  4. Step 4: Simplify right side
    93,566x = 39,343,515,904
  5. Step 5: Solve for x
    x = 39,343,515,904/93,566
  6. Step 6: Final answer
    x = 420,489.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.