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Finding the Third Proportional to 401,910.75 and 545,806.13

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Solution

The third proportional to 401,910.75 and 545,806.13 is: 741,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,910.75 : 545,806.13 = 545,806.13 : x
  2. Step 2: Convert to fraction form
    401,910.75/545,806.13 = 545,806.13/x
  3. Step 3: Cross multiply
    401,910.75x = 545,806.13 × 545,806.13
  4. Step 4: Simplify right side
    401,910.75x = 297,904,326,087.52
  5. Step 5: Solve for x
    x = 297,904,326,087.52/401,910.75
  6. Step 6: Final answer
    x = 741,220.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.