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Finding the Third Proportional to 102,316 and 216,800

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Solution

The third proportional to 102,316 and 216,800 is: 459,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,316 : 216,800 = 216,800 : x
  2. Step 2: Convert to fraction form
    102,316/216,800 = 216,800/x
  3. Step 3: Cross multiply
    102,316x = 216,800 × 216,800
  4. Step 4: Simplify right side
    102,316x = 47,002,240,000
  5. Step 5: Solve for x
    x = 47,002,240,000/102,316
  6. Step 6: Final answer
    x = 459,383.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.