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Finding the Third Proportional to 66,670 and 145,794

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Solution

The third proportional to 66,670 and 145,794 is: 318,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,670 : 145,794 = 145,794 : x
  2. Step 2: Convert to fraction form
    66,670/145,794 = 145,794/x
  3. Step 3: Cross multiply
    66,670x = 145,794 × 145,794
  4. Step 4: Simplify right side
    66,670x = 21,255,890,436
  5. Step 5: Solve for x
    x = 21,255,890,436/66,670
  6. Step 6: Final answer
    x = 318,822.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.