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Finding the Third Proportional to 394,044 and 609,540

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Solution

The third proportional to 394,044 and 609,540 is: 942,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,044 : 609,540 = 609,540 : x
  2. Step 2: Convert to fraction form
    394,044/609,540 = 609,540/x
  3. Step 3: Cross multiply
    394,044x = 609,540 × 609,540
  4. Step 4: Simplify right side
    394,044x = 371,539,011,600
  5. Step 5: Solve for x
    x = 371,539,011,600/394,044
  6. Step 6: Final answer
    x = 942,887.12

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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.