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Finding the Third Proportional to 242,206.50 and 378,025.50

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Solution

The third proportional to 242,206.50 and 378,025.50 is: 590,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,206.50 : 378,025.50 = 378,025.50 : x
  2. Step 2: Convert to fraction form
    242,206.50/378,025.50 = 378,025.50/x
  3. Step 3: Cross multiply
    242,206.50x = 378,025.50 × 378,025.50
  4. Step 4: Simplify right side
    242,206.50x = 142,903,278,650.25
  5. Step 5: Solve for x
    x = 142,903,278,650.25/242,206.50
  6. Step 6: Final answer
    x = 590,005.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.