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Finding the Third Proportional to 29,110 and 68,428

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Solution

The third proportional to 29,110 and 68,428 is: 160,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,110 : 68,428 = 68,428 : x
  2. Step 2: Convert to fraction form
    29,110/68,428 = 68,428/x
  3. Step 3: Cross multiply
    29,110x = 68,428 × 68,428
  4. Step 4: Simplify right side
    29,110x = 4,682,391,184
  5. Step 5: Solve for x
    x = 4,682,391,184/29,110
  6. Step 6: Final answer
    x = 160,851.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.