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Finding the Third Proportional to 221,422.50 and 343,797.75

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Solution

The third proportional to 221,422.50 and 343,797.75 is: 533,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,422.50 : 343,797.75 = 343,797.75 : x
  2. Step 2: Convert to fraction form
    221,422.50/343,797.75 = 343,797.75/x
  3. Step 3: Cross multiply
    221,422.50x = 343,797.75 × 343,797.75
  4. Step 4: Simplify right side
    221,422.50x = 118,196,892,905.06
  5. Step 5: Solve for x
    x = 118,196,892,905.06/221,422.50
  6. Step 6: Final answer
    x = 533,807.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.