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Finding the Third Proportional to 126,906 and 282,178

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Solution

The third proportional to 126,906 and 282,178 is: 627,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,906 : 282,178 = 282,178 : x
  2. Step 2: Convert to fraction form
    126,906/282,178 = 282,178/x
  3. Step 3: Cross multiply
    126,906x = 282,178 × 282,178
  4. Step 4: Simplify right side
    126,906x = 79,624,423,684
  5. Step 5: Solve for x
    x = 79,624,423,684/126,906
  6. Step 6: Final answer
    x = 627,428.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.