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Finding the Third Proportional to 415,261 and 624,121

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Solution

The third proportional to 415,261 and 624,121 is: 938,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,261 : 624,121 = 624,121 : x
  2. Step 2: Convert to fraction form
    415,261/624,121 = 624,121/x
  3. Step 3: Cross multiply
    415,261x = 624,121 × 624,121
  4. Step 4: Simplify right side
    415,261x = 389,527,022,641
  5. Step 5: Solve for x
    x = 389,527,022,641/415,261
  6. Step 6: Final answer
    x = 938,029.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.