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Finding the Third Proportional to 223,806 and 347,053.50

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Solution

The third proportional to 223,806 and 347,053.50 is: 538,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,806 : 347,053.50 = 347,053.50 : x
  2. Step 2: Convert to fraction form
    223,806/347,053.50 = 347,053.50/x
  3. Step 3: Cross multiply
    223,806x = 347,053.50 × 347,053.50
  4. Step 4: Simplify right side
    223,806x = 120,446,131,862.25
  5. Step 5: Solve for x
    x = 120,446,131,862.25/223,806
  6. Step 6: Final answer
    x = 538,172.04

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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.