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Finding the Third Proportional to 213,138 and 328,455

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Solution

The third proportional to 213,138 and 328,455 is: 506,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,138 : 328,455 = 328,455 : x
  2. Step 2: Convert to fraction form
    213,138/328,455 = 328,455/x
  3. Step 3: Cross multiply
    213,138x = 328,455 × 328,455
  4. Step 4: Simplify right side
    213,138x = 107,882,687,025
  5. Step 5: Solve for x
    x = 107,882,687,025/213,138
  6. Step 6: Final answer
    x = 506,163.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.