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Finding the Third Proportional to 821,805 and 1,666,209

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Solution

The third proportional to 821,805 and 1,666,209 is: 3,378,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,805 : 1,666,209 = 1,666,209 : x
  2. Step 2: Convert to fraction form
    821,805/1,666,209 = 1,666,209/x
  3. Step 3: Cross multiply
    821,805x = 1,666,209 × 1,666,209
  4. Step 4: Simplify right side
    821,805x = 2,776,252,431,681
  5. Step 5: Solve for x
    x = 2,776,252,431,681/821,805
  6. Step 6: Final answer
    x = 3,378,237.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.