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Finding the Third Proportional to 979,920 and 1,539,864

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Solution

The third proportional to 979,920 and 1,539,864 is: 2,419,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,920 : 1,539,864 = 1,539,864 : x
  2. Step 2: Convert to fraction form
    979,920/1,539,864 = 1,539,864/x
  3. Step 3: Cross multiply
    979,920x = 1,539,864 × 1,539,864
  4. Step 4: Simplify right side
    979,920x = 2,371,181,138,496
  5. Step 5: Solve for x
    x = 2,371,181,138,496/979,920
  6. Step 6: Final answer
    x = 2,419,770.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.