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Finding the Third Proportional to 216,442 and 308,894

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Solution

The third proportional to 216,442 and 308,894 is: 440,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,442 : 308,894 = 308,894 : x
  2. Step 2: Convert to fraction form
    216,442/308,894 = 308,894/x
  3. Step 3: Cross multiply
    216,442x = 308,894 × 308,894
  4. Step 4: Simplify right side
    216,442x = 95,415,503,236
  5. Step 5: Solve for x
    x = 95,415,503,236/216,442
  6. Step 6: Final answer
    x = 440,836.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.