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Finding the Third Proportional to 252,282.94 and 420,455.81

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Solution

The third proportional to 252,282.94 and 420,455.81 is: 700,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,282.94 : 420,455.81 = 420,455.81 : x
  2. Step 2: Convert to fraction form
    252,282.94/420,455.81 = 420,455.81/x
  3. Step 3: Cross multiply
    252,282.94x = 420,455.81 × 420,455.81
  4. Step 4: Simplify right side
    252,282.94x = 176,783,090,265.04
  5. Step 5: Solve for x
    x = 176,783,090,265.04/252,282.94
  6. Step 6: Final answer
    x = 700,733.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.