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Finding the Third Proportional to 136,523 and 279,850

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Solution

The third proportional to 136,523 and 279,850 is: 573,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,523 : 279,850 = 279,850 : x
  2. Step 2: Convert to fraction form
    136,523/279,850 = 279,850/x
  3. Step 3: Cross multiply
    136,523x = 279,850 × 279,850
  4. Step 4: Simplify right side
    136,523x = 78,316,022,500
  5. Step 5: Solve for x
    x = 78,316,022,500/136,523
  6. Step 6: Final answer
    x = 573,647.10

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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.