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Finding the Third Proportional to 306,136 and 648,692

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Solution

The third proportional to 306,136 and 648,692 is: 1,374,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,136 : 648,692 = 648,692 : x
  2. Step 2: Convert to fraction form
    306,136/648,692 = 648,692/x
  3. Step 3: Cross multiply
    306,136x = 648,692 × 648,692
  4. Step 4: Simplify right side
    306,136x = 420,801,310,864
  5. Step 5: Solve for x
    x = 420,801,310,864/306,136
  6. Step 6: Final answer
    x = 1,374,556.77

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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.