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Finding the Third Proportional to 80,130 and 170,985.75

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Solution

The third proportional to 80,130 and 170,985.75 is: 364,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,130 : 170,985.75 = 170,985.75 : x
  2. Step 2: Convert to fraction form
    80,130/170,985.75 = 170,985.75/x
  3. Step 3: Cross multiply
    80,130x = 170,985.75 × 170,985.75
  4. Step 4: Simplify right side
    80,130x = 29,236,126,703.06
  5. Step 5: Solve for x
    x = 29,236,126,703.06/80,130
  6. Step 6: Final answer
    x = 364,858.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.