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Finding the Third Proportional to 3,547.13 and 9,233.44

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Solution

The third proportional to 3,547.13 and 9,233.44 is: 24,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.13 : 9,233.44 = 9,233.44 : x
  2. Step 2: Convert to fraction form
    3,547.13/9,233.44 = 9,233.44/x
  3. Step 3: Cross multiply
    3,547.13x = 9,233.44 × 9,233.44
  4. Step 4: Simplify right side
    3,547.13x = 85,256,368.07
  5. Step 5: Solve for x
    x = 85,256,368.07/3,547.13
  6. Step 6: Final answer
    x = 24,035.34

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.