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Finding the Third Proportional to 382,459 and 562,555

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Solution

The third proportional to 382,459 and 562,555 is: 827,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,459 : 562,555 = 562,555 : x
  2. Step 2: Convert to fraction form
    382,459/562,555 = 562,555/x
  3. Step 3: Cross multiply
    382,459x = 562,555 × 562,555
  4. Step 4: Simplify right side
    382,459x = 316,468,128,025
  5. Step 5: Solve for x
    x = 316,468,128,025/382,459
  6. Step 6: Final answer
    x = 827,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.