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Finding the Third Proportional to 66,587 and 144,262

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Solution

The third proportional to 66,587 and 144,262 is: 312,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,587 : 144,262 = 144,262 : x
  2. Step 2: Convert to fraction form
    66,587/144,262 = 144,262/x
  3. Step 3: Cross multiply
    66,587x = 144,262 × 144,262
  4. Step 4: Simplify right side
    66,587x = 20,811,524,644
  5. Step 5: Solve for x
    x = 20,811,524,644/66,587
  6. Step 6: Final answer
    x = 312,546.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.