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Finding the Third Proportional to 257,642 and 408,855

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Solution

The third proportional to 257,642 and 408,855 is: 648,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,642 : 408,855 = 408,855 : x
  2. Step 2: Convert to fraction form
    257,642/408,855 = 408,855/x
  3. Step 3: Cross multiply
    257,642x = 408,855 × 408,855
  4. Step 4: Simplify right side
    257,642x = 167,162,411,025
  5. Step 5: Solve for x
    x = 167,162,411,025/257,642
  6. Step 6: Final answer
    x = 648,816.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.