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Finding the Third Proportional to 401,860.13 and 545,770.69

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Solution

The third proportional to 401,860.13 and 545,770.69 is: 741,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,860.13 : 545,770.69 = 545,770.69 : x
  2. Step 2: Convert to fraction form
    401,860.13/545,770.69 = 545,770.69/x
  3. Step 3: Cross multiply
    401,860.13x = 545,770.69 × 545,770.69
  4. Step 4: Simplify right side
    401,860.13x = 297,865,643,334.22
  5. Step 5: Solve for x
    x = 297,865,643,334.22/401,860.13
  6. Step 6: Final answer
    x = 741,217.22

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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.