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Finding the Third Proportional to 71,178 and 104,719

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Solution

The third proportional to 71,178 and 104,719 is: 154,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178 : 104,719 = 104,719 : x
  2. Step 2: Convert to fraction form
    71,178/104,719 = 104,719/x
  3. Step 3: Cross multiply
    71,178x = 104,719 × 104,719
  4. Step 4: Simplify right side
    71,178x = 10,966,068,961
  5. Step 5: Solve for x
    x = 10,966,068,961/71,178
  6. Step 6: Final answer
    x = 154,065.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.