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Finding the Third Proportional to 400,700 and 624,027

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Solution

The third proportional to 400,700 and 624,027 is: 971,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,700 : 624,027 = 624,027 : x
  2. Step 2: Convert to fraction form
    400,700/624,027 = 624,027/x
  3. Step 3: Cross multiply
    400,700x = 624,027 × 624,027
  4. Step 4: Simplify right side
    400,700x = 389,409,696,729
  5. Step 5: Solve for x
    x = 389,409,696,729/400,700
  6. Step 6: Final answer
    x = 971,823.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.