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Finding the Third Proportional to 306,138 and 648,696

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Solution

The third proportional to 306,138 and 648,696 is: 1,374,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,138 : 648,696 = 648,696 : x
  2. Step 2: Convert to fraction form
    306,138/648,696 = 648,696/x
  3. Step 3: Cross multiply
    306,138x = 648,696 × 648,696
  4. Step 4: Simplify right side
    306,138x = 420,806,500,416
  5. Step 5: Solve for x
    x = 420,806,500,416/306,138
  6. Step 6: Final answer
    x = 1,374,564.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.