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Finding the Third Proportional to 270,817 and 378,606.50

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Solution

The third proportional to 270,817 and 378,606.50 is: 529,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,817 : 378,606.50 = 378,606.50 : x
  2. Step 2: Convert to fraction form
    270,817/378,606.50 = 378,606.50/x
  3. Step 3: Cross multiply
    270,817x = 378,606.50 × 378,606.50
  4. Step 4: Simplify right side
    270,817x = 143,342,881,842.25
  5. Step 5: Solve for x
    x = 143,342,881,842.25/270,817
  6. Step 6: Final answer
    x = 529,297.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.