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Finding the Third Proportional to 66,212 and 98,020

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Solution

The third proportional to 66,212 and 98,020 is: 145,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,212 : 98,020 = 98,020 : x
  2. Step 2: Convert to fraction form
    66,212/98,020 = 98,020/x
  3. Step 3: Cross multiply
    66,212x = 98,020 × 98,020
  4. Step 4: Simplify right side
    66,212x = 9,607,920,400
  5. Step 5: Solve for x
    x = 9,607,920,400/66,212
  6. Step 6: Final answer
    x = 145,108.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.