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Finding the Third Proportional to 66,511 and 147,785

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Solution

The third proportional to 66,511 and 147,785 is: 328,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511 : 147,785 = 147,785 : x
  2. Step 2: Convert to fraction form
    66,511/147,785 = 147,785/x
  3. Step 3: Cross multiply
    66,511x = 147,785 × 147,785
  4. Step 4: Simplify right side
    66,511x = 21,840,406,225
  5. Step 5: Solve for x
    x = 21,840,406,225/66,511
  6. Step 6: Final answer
    x = 328,372.84

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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.