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Finding the Third Proportional to 399,578 and 562,074

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Solution

The third proportional to 399,578 and 562,074 is: 790,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,578 : 562,074 = 562,074 : x
  2. Step 2: Convert to fraction form
    399,578/562,074 = 562,074/x
  3. Step 3: Cross multiply
    399,578x = 562,074 × 562,074
  4. Step 4: Simplify right side
    399,578x = 315,927,181,476
  5. Step 5: Solve for x
    x = 315,927,181,476/399,578
  6. Step 6: Final answer
    x = 790,652.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.