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Finding the Third Proportional to 9,128.53 and 19,680.47

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Solution

The third proportional to 9,128.53 and 19,680.47 is: 42,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.53 : 19,680.47 = 19,680.47 : x
  2. Step 2: Convert to fraction form
    9,128.53/19,680.47 = 19,680.47/x
  3. Step 3: Cross multiply
    9,128.53x = 19,680.47 × 19,680.47
  4. Step 4: Simplify right side
    9,128.53x = 387,320,850.22
  5. Step 5: Solve for x
    x = 387,320,850.22/9,128.53
  6. Step 6: Final answer
    x = 42,429.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.