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Finding the Third Proportional to 78,771 and 172,849.75

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Solution

The third proportional to 78,771 and 172,849.75 is: 379,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,771 : 172,849.75 = 172,849.75 : x
  2. Step 2: Convert to fraction form
    78,771/172,849.75 = 172,849.75/x
  3. Step 3: Cross multiply
    78,771x = 172,849.75 × 172,849.75
  4. Step 4: Simplify right side
    78,771x = 29,877,036,075.06
  5. Step 5: Solve for x
    x = 29,877,036,075.06/78,771
  6. Step 6: Final answer
    x = 379,289.79

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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.