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Finding the Third Proportional to 205,585.59 and 448,410.94

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Solution

The third proportional to 205,585.59 and 448,410.94 is: 978,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,585.59 : 448,410.94 = 448,410.94 : x
  2. Step 2: Convert to fraction form
    205,585.59/448,410.94 = 448,410.94/x
  3. Step 3: Cross multiply
    205,585.59x = 448,410.94 × 448,410.94
  4. Step 4: Simplify right side
    205,585.59x = 201,072,368,869.63
  5. Step 5: Solve for x
    x = 201,072,368,869.63/205,585.59
  6. Step 6: Final answer
    x = 978,046.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.