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Finding the Third Proportional to 399,102 and 619,640

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Solution

The third proportional to 399,102 and 619,640 is: 962,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,102 : 619,640 = 619,640 : x
  2. Step 2: Convert to fraction form
    399,102/619,640 = 619,640/x
  3. Step 3: Cross multiply
    399,102x = 619,640 × 619,640
  4. Step 4: Simplify right side
    399,102x = 383,953,729,600
  5. Step 5: Solve for x
    x = 383,953,729,600/399,102
  6. Step 6: Final answer
    x = 962,044.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.