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Finding the Third Proportional to 66,784 and 155,294

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Solution

The third proportional to 66,784 and 155,294 is: 361,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784 : 155,294 = 155,294 : x
  2. Step 2: Convert to fraction form
    66,784/155,294 = 155,294/x
  3. Step 3: Cross multiply
    66,784x = 155,294 × 155,294
  4. Step 4: Simplify right side
    66,784x = 24,116,226,436
  5. Step 5: Solve for x
    x = 24,116,226,436/66,784
  6. Step 6: Final answer
    x = 361,107.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.