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Finding the Third Proportional to 66,683 and 144,814

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Solution

The third proportional to 66,683 and 144,814 is: 314,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,683 : 144,814 = 144,814 : x
  2. Step 2: Convert to fraction form
    66,683/144,814 = 144,814/x
  3. Step 3: Cross multiply
    66,683x = 144,814 × 144,814
  4. Step 4: Simplify right side
    66,683x = 20,971,094,596
  5. Step 5: Solve for x
    x = 20,971,094,596/66,683
  6. Step 6: Final answer
    x = 314,489.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.