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Finding the Third Proportional to 175,287.30 and 378,599.81

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Solution

The third proportional to 175,287.30 and 378,599.81 is: 817,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,287.30 : 378,599.81 = 378,599.81 : x
  2. Step 2: Convert to fraction form
    175,287.30/378,599.81 = 378,599.81/x
  3. Step 3: Cross multiply
    175,287.30x = 378,599.81 × 378,599.81
  4. Step 4: Simplify right side
    175,287.30x = 143,337,819,134.23
  5. Step 5: Solve for x
    x = 143,337,819,134.23/175,287.30
  6. Step 6: Final answer
    x = 817,730.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.