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Finding the Third Proportional to 220,722 and 349,738.50

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Solution

The third proportional to 220,722 and 349,738.50 is: 554,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,722 : 349,738.50 = 349,738.50 : x
  2. Step 2: Convert to fraction form
    220,722/349,738.50 = 349,738.50/x
  3. Step 3: Cross multiply
    220,722x = 349,738.50 × 349,738.50
  4. Step 4: Simplify right side
    220,722x = 122,317,018,382.25
  5. Step 5: Solve for x
    x = 122,317,018,382.25/220,722
  6. Step 6: Final answer
    x = 554,167.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.