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Finding the Third Proportional to 420,368 and 919,634

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Solution

The third proportional to 420,368 and 919,634 is: 2,011,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,368 : 919,634 = 919,634 : x
  2. Step 2: Convert to fraction form
    420,368/919,634 = 919,634/x
  3. Step 3: Cross multiply
    420,368x = 919,634 × 919,634
  4. Step 4: Simplify right side
    420,368x = 845,726,693,956
  5. Step 5: Solve for x
    x = 845,726,693,956/420,368
  6. Step 6: Final answer
    x = 2,011,872.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.