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Finding the Third Proportional to 262,338 and 579,808

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Solution

The third proportional to 262,338 and 579,808 is: 1,281,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,338 : 579,808 = 579,808 : x
  2. Step 2: Convert to fraction form
    262,338/579,808 = 579,808/x
  3. Step 3: Cross multiply
    262,338x = 579,808 × 579,808
  4. Step 4: Simplify right side
    262,338x = 336,177,316,864
  5. Step 5: Solve for x
    x = 336,177,316,864/262,338
  6. Step 6: Final answer
    x = 1,281,466.34

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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.