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Finding the Third Proportional to 58,745.25 and 128,749.50

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Solution

The third proportional to 58,745.25 and 128,749.50 is: 282,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,745.25 : 128,749.50 = 128,749.50 : x
  2. Step 2: Convert to fraction form
    58,745.25/128,749.50 = 128,749.50/x
  3. Step 3: Cross multiply
    58,745.25x = 128,749.50 × 128,749.50
  4. Step 4: Simplify right side
    58,745.25x = 16,576,433,750.25
  5. Step 5: Solve for x
    x = 16,576,433,750.25/58,745.25
  6. Step 6: Final answer
    x = 282,174.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.