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Finding the Third Proportional to 242,311.50 and 355,689

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Solution

The third proportional to 242,311.50 and 355,689 is: 522,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,311.50 : 355,689 = 355,689 : x
  2. Step 2: Convert to fraction form
    242,311.50/355,689 = 355,689/x
  3. Step 3: Cross multiply
    242,311.50x = 355,689 × 355,689
  4. Step 4: Simplify right side
    242,311.50x = 126,514,664,721
  5. Step 5: Solve for x
    x = 126,514,664,721/242,311.50
  6. Step 6: Final answer
    x = 522,115.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.