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Finding the Third Proportional to 221,657.50 and 334,128

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Solution

The third proportional to 221,657.50 and 334,128 is: 503,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,657.50 : 334,128 = 334,128 : x
  2. Step 2: Convert to fraction form
    221,657.50/334,128 = 334,128/x
  3. Step 3: Cross multiply
    221,657.50x = 334,128 × 334,128
  4. Step 4: Simplify right side
    221,657.50x = 111,641,520,384
  5. Step 5: Solve for x
    x = 111,641,520,384/221,657.50
  6. Step 6: Final answer
    x = 503,666.78

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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.