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Finding the Third Proportional to 559,456 and 867,858

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Solution

The third proportional to 559,456 and 867,858 is: 1,346,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,456 : 867,858 = 867,858 : x
  2. Step 2: Convert to fraction form
    559,456/867,858 = 867,858/x
  3. Step 3: Cross multiply
    559,456x = 867,858 × 867,858
  4. Step 4: Simplify right side
    559,456x = 753,177,508,164
  5. Step 5: Solve for x
    x = 753,177,508,164/559,456
  6. Step 6: Final answer
    x = 1,346,267.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.