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Finding the Third Proportional to 401,917.50 and 553,653

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Solution

The third proportional to 401,917.50 and 553,653 is: 762,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,917.50 : 553,653 = 553,653 : x
  2. Step 2: Convert to fraction form
    401,917.50/553,653 = 553,653/x
  3. Step 3: Cross multiply
    401,917.50x = 553,653 × 553,653
  4. Step 4: Simplify right side
    401,917.50x = 306,531,644,409
  5. Step 5: Solve for x
    x = 306,531,644,409/401,917.50
  6. Step 6: Final answer
    x = 762,673.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.