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Finding the Third Proportional to 128,161.41 and 280,448.16

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Solution

The third proportional to 128,161.41 and 280,448.16 is: 613,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,161.41 : 280,448.16 = 280,448.16 : x
  2. Step 2: Convert to fraction form
    128,161.41/280,448.16 = 280,448.16/x
  3. Step 3: Cross multiply
    128,161.41x = 280,448.16 × 280,448.16
  4. Step 4: Simplify right side
    128,161.41x = 78,651,168,344.02
  5. Step 5: Solve for x
    x = 78,651,168,344.02/128,161.41
  6. Step 6: Final answer
    x = 613,688.40

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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.