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Finding the Third Proportional to 126,298 and 278,946

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Solution

The third proportional to 126,298 and 278,946 is: 616,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,298 : 278,946 = 278,946 : x
  2. Step 2: Convert to fraction form
    126,298/278,946 = 278,946/x
  3. Step 3: Cross multiply
    126,298x = 278,946 × 278,946
  4. Step 4: Simplify right side
    126,298x = 77,810,870,916
  5. Step 5: Solve for x
    x = 77,810,870,916/126,298
  6. Step 6: Final answer
    x = 616,089.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.