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Finding the Third Proportional to 401,908.50 and 553,641.75

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Solution

The third proportional to 401,908.50 and 553,641.75 is: 762,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,908.50 : 553,641.75 = 553,641.75 : x
  2. Step 2: Convert to fraction form
    401,908.50/553,641.75 = 553,641.75/x
  3. Step 3: Cross multiply
    401,908.50x = 553,641.75 × 553,641.75
  4. Step 4: Simplify right side
    401,908.50x = 306,519,187,343.06
  5. Step 5: Solve for x
    x = 306,519,187,343.06/401,908.50
  6. Step 6: Final answer
    x = 762,659.13

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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.