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Finding the Third Proportional to 221,722.50 and 342,557.63

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Solution

The third proportional to 221,722.50 and 342,557.63 is: 529,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,722.50 : 342,557.63 = 342,557.63 : x
  2. Step 2: Convert to fraction form
    221,722.50/342,557.63 = 342,557.63/x
  3. Step 3: Cross multiply
    221,722.50x = 342,557.63 × 342,557.63
  4. Step 4: Simplify right side
    221,722.50x = 117,345,726,445.64
  5. Step 5: Solve for x
    x = 117,345,726,445.64/221,722.50
  6. Step 6: Final answer
    x = 529,245.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.