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Finding the Third Proportional to 136,338 and 279,468

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Solution

The third proportional to 136,338 and 279,468 is: 572,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,338 : 279,468 = 279,468 : x
  2. Step 2: Convert to fraction form
    136,338/279,468 = 279,468/x
  3. Step 3: Cross multiply
    136,338x = 279,468 × 279,468
  4. Step 4: Simplify right side
    136,338x = 78,102,363,024
  5. Step 5: Solve for x
    x = 78,102,363,024/136,338
  6. Step 6: Final answer
    x = 572,858.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.