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Finding the Third Proportional to 543,742.88 and 818,758.13

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Solution

The third proportional to 543,742.88 and 818,758.13 is: 1,232,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,742.88 : 818,758.13 = 818,758.13 : x
  2. Step 2: Convert to fraction form
    543,742.88/818,758.13 = 818,758.13/x
  3. Step 3: Cross multiply
    543,742.88x = 818,758.13 × 818,758.13
  4. Step 4: Simplify right side
    543,742.88x = 670,364,867,253.52
  5. Step 5: Solve for x
    x = 670,364,867,253.52/543,742.88
  6. Step 6: Final answer
    x = 1,232,871.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.