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Finding the Third Proportional to 42,763 and 66,376

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Solution

The third proportional to 42,763 and 66,376 is: 103,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,763 : 66,376 = 66,376 : x
  2. Step 2: Convert to fraction form
    42,763/66,376 = 66,376/x
  3. Step 3: Cross multiply
    42,763x = 66,376 × 66,376
  4. Step 4: Simplify right side
    42,763x = 4,405,773,376
  5. Step 5: Solve for x
    x = 4,405,773,376/42,763
  6. Step 6: Final answer
    x = 103,027.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.