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Finding the Third Proportional to 515,396 and 819,942

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Solution

The third proportional to 515,396 and 819,942 is: 1,304,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,396 : 819,942 = 819,942 : x
  2. Step 2: Convert to fraction form
    515,396/819,942 = 819,942/x
  3. Step 3: Cross multiply
    515,396x = 819,942 × 819,942
  4. Step 4: Simplify right side
    515,396x = 672,304,883,364
  5. Step 5: Solve for x
    x = 672,304,883,364/515,396
  6. Step 6: Final answer
    x = 1,304,443.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.