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Finding the Third Proportional to 199,555.50 and 433,555.50

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Solution

The third proportional to 199,555.50 and 433,555.50 is: 941,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,555.50 : 433,555.50 = 433,555.50 : x
  2. Step 2: Convert to fraction form
    199,555.50/433,555.50 = 433,555.50/x
  3. Step 3: Cross multiply
    199,555.50x = 433,555.50 × 433,555.50
  4. Step 4: Simplify right side
    199,555.50x = 187,970,371,580.25
  5. Step 5: Solve for x
    x = 187,970,371,580.25/199,555.50
  6. Step 6: Final answer
    x = 941,945.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.