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Finding the Third Proportional to 10,050.75 and 22,089.38

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Solution

The third proportional to 10,050.75 and 22,089.38 is: 48,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.75 : 22,089.38 = 22,089.38 : x
  2. Step 2: Convert to fraction form
    10,050.75/22,089.38 = 22,089.38/x
  3. Step 3: Cross multiply
    10,050.75x = 22,089.38 × 22,089.38
  4. Step 4: Simplify right side
    10,050.75x = 487,940,487.89
  5. Step 5: Solve for x
    x = 487,940,487.89/10,050.75
  6. Step 6: Final answer
    x = 48,547.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.