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Finding the Third Proportional to 66,816 and 144,720

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Solution

The third proportional to 66,816 and 144,720 is: 313,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,816 : 144,720 = 144,720 : x
  2. Step 2: Convert to fraction form
    66,816/144,720 = 144,720/x
  3. Step 3: Cross multiply
    66,816x = 144,720 × 144,720
  4. Step 4: Simplify right side
    66,816x = 20,943,878,400
  5. Step 5: Solve for x
    x = 20,943,878,400/66,816
  6. Step 6: Final answer
    x = 313,456.03

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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.