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Finding the Third Proportional to 67,511 and 145,411

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Solution

The third proportional to 67,511 and 145,411 is: 313,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,511 : 145,411 = 145,411 : x
  2. Step 2: Convert to fraction form
    67,511/145,411 = 145,411/x
  3. Step 3: Cross multiply
    67,511x = 145,411 × 145,411
  4. Step 4: Simplify right side
    67,511x = 21,144,358,921
  5. Step 5: Solve for x
    x = 21,144,358,921/67,511
  6. Step 6: Final answer
    x = 313,198.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.