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Finding the Third Proportional to 933,788 and 1,820,920

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Solution

The third proportional to 933,788 and 1,820,920 is: 3,550,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,788 : 1,820,920 = 1,820,920 : x
  2. Step 2: Convert to fraction form
    933,788/1,820,920 = 1,820,920/x
  3. Step 3: Cross multiply
    933,788x = 1,820,920 × 1,820,920
  4. Step 4: Simplify right side
    933,788x = 3,315,749,646,400
  5. Step 5: Solve for x
    x = 3,315,749,646,400/933,788
  6. Step 6: Final answer
    x = 3,550,859.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.