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Finding the Third Proportional to 314,259,760 and 682,920,416

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Solution

The third proportional to 314,259,760 and 682,920,416 is: 1,484,059,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,259,760 : 682,920,416 = 682,920,416 : x
  2. Step 2: Convert to fraction form
    314,259,760/682,920,416 = 682,920,416/x
  3. Step 3: Cross multiply
    314,259,760x = 682,920,416 × 682,920,416
  4. Step 4: Simplify right side
    314,259,760x = 466,380,294,589,613,056
  5. Step 5: Solve for x
    x = 466,380,294,589,613,056/314,259,760
  6. Step 6: Final answer
    x = 1,484,059,857.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.