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Finding the Third Proportional to 401,665,117 and 620,674,451

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Solution

The third proportional to 401,665,117 and 620,674,451 is: 959,099,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,665,117 : 620,674,451 = 620,674,451 : x
  2. Step 2: Convert to fraction form
    401,665,117/620,674,451 = 620,674,451/x
  3. Step 3: Cross multiply
    401,665,117x = 620,674,451 × 620,674,451
  4. Step 4: Simplify right side
    401,665,117x = 385,236,774,124,151,424
  5. Step 5: Solve for x
    x = 385,236,774,124,151,424/401,665,117
  6. Step 6: Final answer
    x = 959,099,403.51

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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.