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Finding the Third Proportional to 394,045 and 624,056

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Solution

The third proportional to 394,045 and 624,056 is: 988,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,045 : 624,056 = 624,056 : x
  2. Step 2: Convert to fraction form
    394,045/624,056 = 624,056/x
  3. Step 3: Cross multiply
    394,045x = 624,056 × 624,056
  4. Step 4: Simplify right side
    394,045x = 389,445,891,136
  5. Step 5: Solve for x
    x = 389,445,891,136/394,045
  6. Step 6: Final answer
    x = 988,328.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.