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Finding the Third Proportional to 76,959.75 and 115,130.25

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Solution

The third proportional to 76,959.75 and 115,130.25 is: 172,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,959.75 : 115,130.25 = 115,130.25 : x
  2. Step 2: Convert to fraction form
    76,959.75/115,130.25 = 115,130.25/x
  3. Step 3: Cross multiply
    76,959.75x = 115,130.25 × 115,130.25
  4. Step 4: Simplify right side
    76,959.75x = 13,254,974,465.06
  5. Step 5: Solve for x
    x = 13,254,974,465.06/76,959.75
  6. Step 6: Final answer
    x = 172,232.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.