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Finding the Third Proportional to 400,818 and 621,153

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Solution

The third proportional to 400,818 and 621,153 is: 962,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,818 : 621,153 = 621,153 : x
  2. Step 2: Convert to fraction form
    400,818/621,153 = 621,153/x
  3. Step 3: Cross multiply
    400,818x = 621,153 × 621,153
  4. Step 4: Simplify right side
    400,818x = 385,831,049,409
  5. Step 5: Solve for x
    x = 385,831,049,409/400,818
  6. Step 6: Final answer
    x = 962,609.09

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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.