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Finding the Third Proportional to 66,753 and 145,814

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Solution

The third proportional to 66,753 and 145,814 is: 318,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,753 : 145,814 = 145,814 : x
  2. Step 2: Convert to fraction form
    66,753/145,814 = 145,814/x
  3. Step 3: Cross multiply
    66,753x = 145,814 × 145,814
  4. Step 4: Simplify right side
    66,753x = 21,261,722,596
  5. Step 5: Solve for x
    x = 21,261,722,596/66,753
  6. Step 6: Final answer
    x = 318,513.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.