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Finding the Third Proportional to 66,898 and 144,822

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Solution

The third proportional to 66,898 and 144,822 is: 313,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898 : 144,822 = 144,822 : x
  2. Step 2: Convert to fraction form
    66,898/144,822 = 144,822/x
  3. Step 3: Cross multiply
    66,898x = 144,822 × 144,822
  4. Step 4: Simplify right side
    66,898x = 20,973,411,684
  5. Step 5: Solve for x
    x = 20,973,411,684/66,898
  6. Step 6: Final answer
    x = 313,513.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.