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Finding the Third Proportional to 261,921 and 562,074

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Solution

The third proportional to 261,921 and 562,074 is: 1,206,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,921 : 562,074 = 562,074 : x
  2. Step 2: Convert to fraction form
    261,921/562,074 = 562,074/x
  3. Step 3: Cross multiply
    261,921x = 562,074 × 562,074
  4. Step 4: Simplify right side
    261,921x = 315,927,181,476
  5. Step 5: Solve for x
    x = 315,927,181,476/261,921
  6. Step 6: Final answer
    x = 1,206,192.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.