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Finding the Third Proportional to 150,336 and 326,902.50

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Solution

The third proportional to 150,336 and 326,902.50 is: 710,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336 : 326,902.50 = 326,902.50 : x
  2. Step 2: Convert to fraction form
    150,336/326,902.50 = 326,902.50/x
  3. Step 3: Cross multiply
    150,336x = 326,902.50 × 326,902.50
  4. Step 4: Simplify right side
    150,336x = 106,865,244,506.25
  5. Step 5: Solve for x
    x = 106,865,244,506.25/150,336
  6. Step 6: Final answer
    x = 710,842.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.