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Finding the Third Proportional to 10,552.78 and 24,829.03

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Solution

The third proportional to 10,552.78 and 24,829.03 is: 58,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.78 : 24,829.03 = 24,829.03 : x
  2. Step 2: Convert to fraction form
    10,552.78/24,829.03 = 24,829.03/x
  3. Step 3: Cross multiply
    10,552.78x = 24,829.03 × 24,829.03
  4. Step 4: Simplify right side
    10,552.78x = 616,480,792.81
  5. Step 5: Solve for x
    x = 616,480,792.81/10,552.78
  6. Step 6: Final answer
    x = 58,418.80

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.