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Finding the Third Proportional to 311,874 and 645,140

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Solution

The third proportional to 311,874 and 645,140 is: 1,334,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874 : 645,140 = 645,140 : x
  2. Step 2: Convert to fraction form
    311,874/645,140 = 645,140/x
  3. Step 3: Cross multiply
    311,874x = 645,140 × 645,140
  4. Step 4: Simplify right side
    311,874x = 416,205,619,600
  5. Step 5: Solve for x
    x = 416,205,619,600/311,874
  6. Step 6: Final answer
    x = 1,334,531.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.