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Finding the Third Proportional to 66,820 and 102,750

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Solution

The third proportional to 66,820 and 102,750 is: 158,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,820 : 102,750 = 102,750 : x
  2. Step 2: Convert to fraction form
    66,820/102,750 = 102,750/x
  3. Step 3: Cross multiply
    66,820x = 102,750 × 102,750
  4. Step 4: Simplify right side
    66,820x = 10,557,562,500
  5. Step 5: Solve for x
    x = 10,557,562,500/66,820
  6. Step 6: Final answer
    x = 158,000.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.