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Finding the Third Proportional to 409,740 and 642,762

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Solution

The third proportional to 409,740 and 642,762 is: 1,008,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,740 : 642,762 = 642,762 : x
  2. Step 2: Convert to fraction form
    409,740/642,762 = 642,762/x
  3. Step 3: Cross multiply
    409,740x = 642,762 × 642,762
  4. Step 4: Simplify right side
    409,740x = 413,142,988,644
  5. Step 5: Solve for x
    x = 413,142,988,644/409,740
  6. Step 6: Final answer
    x = 1,008,305.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.