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Finding the Third Proportional to 66,691 and 144,454

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Solution

The third proportional to 66,691 and 144,454 is: 312,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,691 : 144,454 = 144,454 : x
  2. Step 2: Convert to fraction form
    66,691/144,454 = 144,454/x
  3. Step 3: Cross multiply
    66,691x = 144,454 × 144,454
  4. Step 4: Simplify right side
    66,691x = 20,866,958,116
  5. Step 5: Solve for x
    x = 20,866,958,116/66,691
  6. Step 6: Final answer
    x = 312,890.17

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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.