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Finding the Third Proportional to 399,102.19 and 602,802

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Solution

The third proportional to 399,102.19 and 602,802 is: 910,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,102.19 : 602,802 = 602,802 : x
  2. Step 2: Convert to fraction form
    399,102.19/602,802 = 602,802/x
  3. Step 3: Cross multiply
    399,102.19x = 602,802 × 602,802
  4. Step 4: Simplify right side
    399,102.19x = 363,370,251,204
  5. Step 5: Solve for x
    x = 363,370,251,204/399,102.19
  6. Step 6: Final answer
    x = 910,469.20

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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.