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Finding the Third Proportional to 306,056,981 and 655,777,009

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Solution

The third proportional to 306,056,981 and 655,777,009 is: 1,405,109,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,056,981 : 655,777,009 = 655,777,009 : x
  2. Step 2: Convert to fraction form
    306,056,981/655,777,009 = 655,777,009/x
  3. Step 3: Cross multiply
    306,056,981x = 655,777,009 × 655,777,009
  4. Step 4: Simplify right side
    306,056,981x = 430,043,485,532,986,112
  5. Step 5: Solve for x
    x = 430,043,485,532,986,112/306,056,981
  6. Step 6: Final answer
    x = 1,405,109,218.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.