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Finding the Third Proportional to 889,820 and 1,378,965

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Solution

The third proportional to 889,820 and 1,378,965 is: 2,136,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,820 : 1,378,965 = 1,378,965 : x
  2. Step 2: Convert to fraction form
    889,820/1,378,965 = 1,378,965/x
  3. Step 3: Cross multiply
    889,820x = 1,378,965 × 1,378,965
  4. Step 4: Simplify right side
    889,820x = 1,901,544,471,225
  5. Step 5: Solve for x
    x = 1,901,544,471,225/889,820
  6. Step 6: Final answer
    x = 2,136,999.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.