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Finding the Third Proportional to 399,108 and 602,814

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Solution

The third proportional to 399,108 and 602,814 is: 910,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,108 : 602,814 = 602,814 : x
  2. Step 2: Convert to fraction form
    399,108/602,814 = 602,814/x
  3. Step 3: Cross multiply
    399,108x = 602,814 × 602,814
  4. Step 4: Simplify right side
    399,108x = 363,384,718,596
  5. Step 5: Solve for x
    x = 363,384,718,596/399,108
  6. Step 6: Final answer
    x = 910,492.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.