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Finding the Third Proportional to 420,696 and 566,856

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Solution

The third proportional to 420,696 and 566,856 is: 763,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,696 : 566,856 = 566,856 : x
  2. Step 2: Convert to fraction form
    420,696/566,856 = 566,856/x
  3. Step 3: Cross multiply
    420,696x = 566,856 × 566,856
  4. Step 4: Simplify right side
    420,696x = 321,325,724,736
  5. Step 5: Solve for x
    x = 321,325,724,736/420,696
  6. Step 6: Final answer
    x = 763,795.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.