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Finding the Third Proportional to 52,012.75 and 123,572.25

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Solution

The third proportional to 52,012.75 and 123,572.25 is: 293,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.75 : 123,572.25 = 123,572.25 : x
  2. Step 2: Convert to fraction form
    52,012.75/123,572.25 = 123,572.25/x
  3. Step 3: Cross multiply
    52,012.75x = 123,572.25 × 123,572.25
  4. Step 4: Simplify right side
    52,012.75x = 15,270,100,970.06
  5. Step 5: Solve for x
    x = 15,270,100,970.06/52,012.75
  6. Step 6: Final answer
    x = 293,583.80

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.