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Finding the Third Proportional to 29,389 and 69,319

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Solution

The third proportional to 29,389 and 69,319 is: 163,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,389 : 69,319 = 69,319 : x
  2. Step 2: Convert to fraction form
    29,389/69,319 = 69,319/x
  3. Step 3: Cross multiply
    29,389x = 69,319 × 69,319
  4. Step 4: Simplify right side
    29,389x = 4,805,123,761
  5. Step 5: Solve for x
    x = 4,805,123,761/29,389
  6. Step 6: Final answer
    x = 163,500.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.