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Finding the Third Proportional to 30,859 and 67,292

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Solution

The third proportional to 30,859 and 67,292 is: 146,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859 : 67,292 = 67,292 : x
  2. Step 2: Convert to fraction form
    30,859/67,292 = 67,292/x
  3. Step 3: Cross multiply
    30,859x = 67,292 × 67,292
  4. Step 4: Simplify right side
    30,859x = 4,528,213,264
  5. Step 5: Solve for x
    x = 4,528,213,264/30,859
  6. Step 6: Final answer
    x = 146,738.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.