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Finding the Third Proportional to 93,480 and 200,082

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Solution

The third proportional to 93,480 and 200,082 is: 428,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,480 : 200,082 = 200,082 : x
  2. Step 2: Convert to fraction form
    93,480/200,082 = 200,082/x
  3. Step 3: Cross multiply
    93,480x = 200,082 × 200,082
  4. Step 4: Simplify right side
    93,480x = 40,032,806,724
  5. Step 5: Solve for x
    x = 40,032,806,724/93,480
  6. Step 6: Final answer
    x = 428,249.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.