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Finding the Third Proportional to 401,663,524 and 620,672,442

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Solution

The third proportional to 401,663,524 and 620,672,442 is: 959,096,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,663,524 : 620,672,442 = 620,672,442 : x
  2. Step 2: Convert to fraction form
    401,663,524/620,672,442 = 620,672,442/x
  3. Step 3: Cross multiply
    401,663,524x = 620,672,442 × 620,672,442
  4. Step 4: Simplify right side
    401,663,524x = 385,234,280,258,243,392
  5. Step 5: Solve for x
    x = 385,234,280,258,243,392/401,663,524
  6. Step 6: Final answer
    x = 959,096,998.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.