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Finding the Third Proportional to 564,279 and 864,132

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Solution

The third proportional to 564,279 and 864,132 is: 1,323,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,279 : 864,132 = 864,132 : x
  2. Step 2: Convert to fraction form
    564,279/864,132 = 864,132/x
  3. Step 3: Cross multiply
    564,279x = 864,132 × 864,132
  4. Step 4: Simplify right side
    564,279x = 746,724,113,424
  5. Step 5: Solve for x
    x = 746,724,113,424/564,279
  6. Step 6: Final answer
    x = 1,323,324.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.