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Finding the Third Proportional to 667,428.19 and 1,382,170.50

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Solution

The third proportional to 667,428.19 and 1,382,170.50 is: 2,862,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,428.19 : 1,382,170.50 = 1,382,170.50 : x
  2. Step 2: Convert to fraction form
    667,428.19/1,382,170.50 = 1,382,170.50/x
  3. Step 3: Cross multiply
    667,428.19x = 1,382,170.50 × 1,382,170.50
  4. Step 4: Simplify right side
    667,428.19x = 1,910,395,291,070.25
  5. Step 5: Solve for x
    x = 1,910,395,291,070.25/667,428.19
  6. Step 6: Final answer
    x = 2,862,323.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.