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Finding the Third Proportional to 93,106 and 200,972

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Solution

The third proportional to 93,106 and 200,972 is: 433,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,106 : 200,972 = 200,972 : x
  2. Step 2: Convert to fraction form
    93,106/200,972 = 200,972/x
  3. Step 3: Cross multiply
    93,106x = 200,972 × 200,972
  4. Step 4: Simplify right side
    93,106x = 40,389,744,784
  5. Step 5: Solve for x
    x = 40,389,744,784/93,106
  6. Step 6: Final answer
    x = 433,803.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.