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Finding the Third Proportional to 243,415.50 and 355,704.75

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Solution

The third proportional to 243,415.50 and 355,704.75 is: 519,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,415.50 : 355,704.75 = 355,704.75 : x
  2. Step 2: Convert to fraction form
    243,415.50/355,704.75 = 355,704.75/x
  3. Step 3: Cross multiply
    243,415.50x = 355,704.75 × 355,704.75
  4. Step 4: Simplify right side
    243,415.50x = 126,525,869,172.56
  5. Step 5: Solve for x
    x = 126,525,869,172.56/243,415.50
  6. Step 6: Final answer
    x = 519,793.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.