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Finding the Third Proportional to 226,800 and 342,751.50

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Solution

The third proportional to 226,800 and 342,751.50 is: 517,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,800 : 342,751.50 = 342,751.50 : x
  2. Step 2: Convert to fraction form
    226,800/342,751.50 = 342,751.50/x
  3. Step 3: Cross multiply
    226,800x = 342,751.50 × 342,751.50
  4. Step 4: Simplify right side
    226,800x = 117,478,590,752.25
  5. Step 5: Solve for x
    x = 117,478,590,752.25/226,800
  6. Step 6: Final answer
    x = 517,983.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.