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Finding the Third Proportional to 11,345.06 and 23,476.08

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Solution

The third proportional to 11,345.06 and 23,476.08 is: 48,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.06 : 23,476.08 = 23,476.08 : x
  2. Step 2: Convert to fraction form
    11,345.06/23,476.08 = 23,476.08/x
  3. Step 3: Cross multiply
    11,345.06x = 23,476.08 × 23,476.08
  4. Step 4: Simplify right side
    11,345.06x = 551,126,244.13
  5. Step 5: Solve for x
    x = 551,126,244.13/11,345.06
  6. Step 6: Final answer
    x = 48,578.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.