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Finding the Third Proportional to 66,220 and 100,859

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Solution

The third proportional to 66,220 and 100,859 is: 153,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,220 : 100,859 = 100,859 : x
  2. Step 2: Convert to fraction form
    66,220/100,859 = 100,859/x
  3. Step 3: Cross multiply
    66,220x = 100,859 × 100,859
  4. Step 4: Simplify right side
    66,220x = 10,172,537,881
  5. Step 5: Solve for x
    x = 10,172,537,881/66,220
  6. Step 6: Final answer
    x = 153,617.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.