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Finding the Third Proportional to 57,978.75 and 84,507.75

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Solution

The third proportional to 57,978.75 and 84,507.75 is: 123,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.75 : 84,507.75 = 84,507.75 : x
  2. Step 2: Convert to fraction form
    57,978.75/84,507.75 = 84,507.75/x
  3. Step 3: Cross multiply
    57,978.75x = 84,507.75 × 84,507.75
  4. Step 4: Simplify right side
    57,978.75x = 7,141,559,810.06
  5. Step 5: Solve for x
    x = 7,141,559,810.06/57,978.75
  6. Step 6: Final answer
    x = 123,175.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.