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Finding the Third Proportional to 199,549.50 and 433,543.50

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Solution

The third proportional to 199,549.50 and 433,543.50 is: 941,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,549.50 : 433,543.50 = 433,543.50 : x
  2. Step 2: Convert to fraction form
    199,549.50/433,543.50 = 433,543.50/x
  3. Step 3: Cross multiply
    199,549.50x = 433,543.50 × 433,543.50
  4. Step 4: Simplify right side
    199,549.50x = 187,959,966,392.25
  5. Step 5: Solve for x
    x = 187,959,966,392.25/199,549.50
  6. Step 6: Final answer
    x = 941,921.51

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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.