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Finding the Third Proportional to 46,239.50 and 101,040.50

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Solution

The third proportional to 46,239.50 and 101,040.50 is: 220,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,239.50 : 101,040.50 = 101,040.50 : x
  2. Step 2: Convert to fraction form
    46,239.50/101,040.50 = 101,040.50/x
  3. Step 3: Cross multiply
    46,239.50x = 101,040.50 × 101,040.50
  4. Step 4: Simplify right side
    46,239.50x = 10,209,182,640.25
  5. Step 5: Solve for x
    x = 10,209,182,640.25/46,239.50
  6. Step 6: Final answer
    x = 220,789.21

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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.