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Finding the Third Proportional to 78,762 and 172,833.75

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Solution

The third proportional to 78,762 and 172,833.75 is: 379,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762 : 172,833.75 = 172,833.75 : x
  2. Step 2: Convert to fraction form
    78,762/172,833.75 = 172,833.75/x
  3. Step 3: Cross multiply
    78,762x = 172,833.75 × 172,833.75
  4. Step 4: Simplify right side
    78,762x = 29,871,505,139.06
  5. Step 5: Solve for x
    x = 29,871,505,139.06/78,762
  6. Step 6: Final answer
    x = 379,262.91

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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.