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Finding the Third Proportional to 221,164.50 and 333,573.75

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Solution

The third proportional to 221,164.50 and 333,573.75 is: 503,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,164.50 : 333,573.75 = 333,573.75 : x
  2. Step 2: Convert to fraction form
    221,164.50/333,573.75 = 333,573.75/x
  3. Step 3: Cross multiply
    221,164.50x = 333,573.75 × 333,573.75
  4. Step 4: Simplify right side
    221,164.50x = 111,271,446,689.06
  5. Step 5: Solve for x
    x = 111,271,446,689.06/221,164.50
  6. Step 6: Final answer
    x = 503,116.22

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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.