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Finding the Third Proportional to 128,210.53 and 278,997.19

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Solution

The third proportional to 128,210.53 and 278,997.19 is: 607,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,210.53 : 278,997.19 = 278,997.19 : x
  2. Step 2: Convert to fraction form
    128,210.53/278,997.19 = 278,997.19/x
  3. Step 3: Cross multiply
    128,210.53x = 278,997.19 × 278,997.19
  4. Step 4: Simplify right side
    128,210.53x = 77,839,430,632.91
  5. Step 5: Solve for x
    x = 77,839,430,632.91/128,210.53
  6. Step 6: Final answer
    x = 607,121.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.