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Finding the Third Proportional to 69,406 and 98,276

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Solution

The third proportional to 69,406 and 98,276 is: 139,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,406 : 98,276 = 98,276 : x
  2. Step 2: Convert to fraction form
    69,406/98,276 = 98,276/x
  3. Step 3: Cross multiply
    69,406x = 98,276 × 98,276
  4. Step 4: Simplify right side
    69,406x = 9,658,172,176
  5. Step 5: Solve for x
    x = 9,658,172,176/69,406
  6. Step 6: Final answer
    x = 139,154.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.