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Finding the Third Proportional to 10,577.25 and 22,975.31

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Solution

The third proportional to 10,577.25 and 22,975.31 is: 49,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.25 : 22,975.31 = 22,975.31 : x
  2. Step 2: Convert to fraction form
    10,577.25/22,975.31 = 22,975.31/x
  3. Step 3: Cross multiply
    10,577.25x = 22,975.31 × 22,975.31
  4. Step 4: Simplify right side
    10,577.25x = 527,864,984.47
  5. Step 5: Solve for x
    x = 527,864,984.47/10,577.25
  6. Step 6: Final answer
    x = 49,905.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.