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Finding the Third Proportional to 128,124.84 and 280,382.06

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Solution

The third proportional to 128,124.84 and 280,382.06 is: 613,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,124.84 : 280,382.06 = 280,382.06 : x
  2. Step 2: Convert to fraction form
    128,124.84/280,382.06 = 280,382.06/x
  3. Step 3: Cross multiply
    128,124.84x = 280,382.06 × 280,382.06
  4. Step 4: Simplify right side
    128,124.84x = 78,614,100,971.75
  5. Step 5: Solve for x
    x = 78,614,100,971.75/128,124.84
  6. Step 6: Final answer
    x = 613,574.22

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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.