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Finding the Third Proportional to 145,080.75 and 205,471.13

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Solution

The third proportional to 145,080.75 and 205,471.13 is: 290,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,080.75 : 205,471.13 = 205,471.13 : x
  2. Step 2: Convert to fraction form
    145,080.75/205,471.13 = 205,471.13/x
  3. Step 3: Cross multiply
    145,080.75x = 205,471.13 × 205,471.13
  4. Step 4: Simplify right side
    145,080.75x = 42,218,383,208.77
  5. Step 5: Solve for x
    x = 42,218,383,208.77/145,080.75
  6. Step 6: Final answer
    x = 290,999.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.