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Finding the Third Proportional to 578,366 and 864,141

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Solution

The third proportional to 578,366 and 864,141 is: 1,291,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,366 : 864,141 = 864,141 : x
  2. Step 2: Convert to fraction form
    578,366/864,141 = 864,141/x
  3. Step 3: Cross multiply
    578,366x = 864,141 × 864,141
  4. Step 4: Simplify right side
    578,366x = 746,739,667,881
  5. Step 5: Solve for x
    x = 746,739,667,881/578,366
  6. Step 6: Final answer
    x = 1,291,119.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.