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Finding the Third Proportional to 93,532 and 136,982

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Solution

The third proportional to 93,532 and 136,982 is: 200,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,532 : 136,982 = 136,982 : x
  2. Step 2: Convert to fraction form
    93,532/136,982 = 136,982/x
  3. Step 3: Cross multiply
    93,532x = 136,982 × 136,982
  4. Step 4: Simplify right side
    93,532x = 18,764,068,324
  5. Step 5: Solve for x
    x = 18,764,068,324/93,532
  6. Step 6: Final answer
    x = 200,616.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.