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Finding the Third Proportional to 420,126 and 645,762

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Solution

The third proportional to 420,126 and 645,762 is: 992,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,126 : 645,762 = 645,762 : x
  2. Step 2: Convert to fraction form
    420,126/645,762 = 645,762/x
  3. Step 3: Cross multiply
    420,126x = 645,762 × 645,762
  4. Step 4: Simplify right side
    420,126x = 417,008,560,644
  5. Step 5: Solve for x
    x = 417,008,560,644/420,126
  6. Step 6: Final answer
    x = 992,579.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.