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Finding the Third Proportional to 53,505 and 80,109.75

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Solution

The third proportional to 53,505 and 80,109.75 is: 119,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505 : 80,109.75 = 80,109.75 : x
  2. Step 2: Convert to fraction form
    53,505/80,109.75 = 80,109.75/x
  3. Step 3: Cross multiply
    53,505x = 80,109.75 × 80,109.75
  4. Step 4: Simplify right side
    53,505x = 6,417,572,045.06
  5. Step 5: Solve for x
    x = 6,417,572,045.06/53,505
  6. Step 6: Final answer
    x = 119,943.41

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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.