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Finding the Third Proportional to 102,306 and 211,716

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Solution

The third proportional to 102,306 and 211,716 is: 438,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,306 : 211,716 = 211,716 : x
  2. Step 2: Convert to fraction form
    102,306/211,716 = 211,716/x
  3. Step 3: Cross multiply
    102,306x = 211,716 × 211,716
  4. Step 4: Simplify right side
    102,306x = 44,823,664,656
  5. Step 5: Solve for x
    x = 44,823,664,656/102,306
  6. Step 6: Final answer
    x = 438,133.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.