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Finding the Third Proportional to 30,746 and 67,511

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Solution

The third proportional to 30,746 and 67,511 is: 148,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746 : 67,511 = 67,511 : x
  2. Step 2: Convert to fraction form
    30,746/67,511 = 67,511/x
  3. Step 3: Cross multiply
    30,746x = 67,511 × 67,511
  4. Step 4: Simplify right side
    30,746x = 4,557,735,121
  5. Step 5: Solve for x
    x = 4,557,735,121/30,746
  6. Step 6: Final answer
    x = 148,238.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.