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Finding the Third Proportional to 286,745.06 and 401,139.84

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Solution

The third proportional to 286,745.06 and 401,139.84 is: 561,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,745.06 : 401,139.84 = 401,139.84 : x
  2. Step 2: Convert to fraction form
    286,745.06/401,139.84 = 401,139.84/x
  3. Step 3: Cross multiply
    286,745.06x = 401,139.84 × 401,139.84
  4. Step 4: Simplify right side
    286,745.06x = 160,913,174,243.77
  5. Step 5: Solve for x
    x = 160,913,174,243.77/286,745.06
  6. Step 6: Final answer
    x = 561,171.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.