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Finding the Third Proportional to 262,377 and 579,885

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Solution

The third proportional to 262,377 and 579,885 is: 1,281,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,377 : 579,885 = 579,885 : x
  2. Step 2: Convert to fraction form
    262,377/579,885 = 579,885/x
  3. Step 3: Cross multiply
    262,377x = 579,885 × 579,885
  4. Step 4: Simplify right side
    262,377x = 336,266,613,225
  5. Step 5: Solve for x
    x = 336,266,613,225/262,377
  6. Step 6: Final answer
    x = 1,281,616.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.