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Finding the Third Proportional to 350,902.13 and 533,739.38

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Solution

The third proportional to 350,902.13 and 533,739.38 is: 811,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,902.13 : 533,739.38 = 533,739.38 : x
  2. Step 2: Convert to fraction form
    350,902.13/533,739.38 = 533,739.38/x
  3. Step 3: Cross multiply
    350,902.13x = 533,739.38 × 533,739.38
  4. Step 4: Simplify right side
    350,902.13x = 284,877,720,425.39
  5. Step 5: Solve for x
    x = 284,877,720,425.39/350,902.13
  6. Step 6: Final answer
    x = 811,843.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.