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Finding the Third Proportional to 92,848 and 200,476

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Solution

The third proportional to 92,848 and 200,476 is: 432,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,848 : 200,476 = 200,476 : x
  2. Step 2: Convert to fraction form
    92,848/200,476 = 200,476/x
  3. Step 3: Cross multiply
    92,848x = 200,476 × 200,476
  4. Step 4: Simplify right side
    92,848x = 40,190,626,576
  5. Step 5: Solve for x
    x = 40,190,626,576/92,848
  6. Step 6: Final answer
    x = 432,864.75

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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.