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Finding the Third Proportional to 126,748 and 278,696

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Solution

The third proportional to 126,748 and 278,696 is: 612,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,748 : 278,696 = 278,696 : x
  2. Step 2: Convert to fraction form
    126,748/278,696 = 278,696/x
  3. Step 3: Cross multiply
    126,748x = 278,696 × 278,696
  4. Step 4: Simplify right side
    126,748x = 77,671,460,416
  5. Step 5: Solve for x
    x = 77,671,460,416/126,748
  6. Step 6: Final answer
    x = 612,802.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.