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Finding the Third Proportional to 426,489 and 919,073

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Solution

The third proportional to 426,489 and 919,073 is: 1,980,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,489 : 919,073 = 919,073 : x
  2. Step 2: Convert to fraction form
    426,489/919,073 = 919,073/x
  3. Step 3: Cross multiply
    426,489x = 919,073 × 919,073
  4. Step 4: Simplify right side
    426,489x = 844,695,179,329
  5. Step 5: Solve for x
    x = 844,695,179,329/426,489
  6. Step 6: Final answer
    x = 1,980,579.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.