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Finding the Third Proportional to 400,698 and 624,024

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Solution

The third proportional to 400,698 and 624,024 is: 971,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,698 : 624,024 = 624,024 : x
  2. Step 2: Convert to fraction form
    400,698/624,024 = 624,024/x
  3. Step 3: Cross multiply
    400,698x = 624,024 × 624,024
  4. Step 4: Simplify right side
    400,698x = 389,405,952,576
  5. Step 5: Solve for x
    x = 389,405,952,576/400,698
  6. Step 6: Final answer
    x = 971,819.06

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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.