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Finding the Third Proportional to 66,681 and 144,810

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Solution

The third proportional to 66,681 and 144,810 is: 314,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,681 : 144,810 = 144,810 : x
  2. Step 2: Convert to fraction form
    66,681/144,810 = 144,810/x
  3. Step 3: Cross multiply
    66,681x = 144,810 × 144,810
  4. Step 4: Simplify right side
    66,681x = 20,969,936,100
  5. Step 5: Solve for x
    x = 20,969,936,100/66,681
  6. Step 6: Final answer
    x = 314,481.43

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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.