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Finding the Third Proportional to 145,428.75 and 223,458.75

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Solution

The third proportional to 145,428.75 and 223,458.75 is: 343,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,428.75 : 223,458.75 = 223,458.75 : x
  2. Step 2: Convert to fraction form
    145,428.75/223,458.75 = 223,458.75/x
  3. Step 3: Cross multiply
    145,428.75x = 223,458.75 × 223,458.75
  4. Step 4: Simplify right side
    145,428.75x = 49,933,812,951.56
  5. Step 5: Solve for x
    x = 49,933,812,951.56/145,428.75
  6. Step 6: Final answer
    x = 343,355.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.