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Finding the Third Proportional to 69,070 and 103,179

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Solution

The third proportional to 69,070 and 103,179 is: 154,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,070 : 103,179 = 103,179 : x
  2. Step 2: Convert to fraction form
    69,070/103,179 = 103,179/x
  3. Step 3: Cross multiply
    69,070x = 103,179 × 103,179
  4. Step 4: Simplify right side
    69,070x = 10,645,906,041
  5. Step 5: Solve for x
    x = 10,645,906,041/69,070
  6. Step 6: Final answer
    x = 154,132.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.