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Finding the Third Proportional to 93,680 and 200,476

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Solution

The third proportional to 93,680 and 200,476 is: 429,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,680 : 200,476 = 200,476 : x
  2. Step 2: Convert to fraction form
    93,680/200,476 = 200,476/x
  3. Step 3: Cross multiply
    93,680x = 200,476 × 200,476
  4. Step 4: Simplify right side
    93,680x = 40,190,626,576
  5. Step 5: Solve for x
    x = 40,190,626,576/93,680
  6. Step 6: Final answer
    x = 429,020.35

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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.