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Finding the Third Proportional to 66,512 and 147,787

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Solution

The third proportional to 66,512 and 147,787 is: 328,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,512 : 147,787 = 147,787 : x
  2. Step 2: Convert to fraction form
    66,512/147,787 = 147,787/x
  3. Step 3: Cross multiply
    66,512x = 147,787 × 147,787
  4. Step 4: Simplify right side
    66,512x = 21,840,997,369
  5. Step 5: Solve for x
    x = 21,840,997,369/66,512
  6. Step 6: Final answer
    x = 328,376.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.