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Finding the Third Proportional to 10,573.88 and 25,050.09

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Solution

The third proportional to 10,573.88 and 25,050.09 is: 59,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.88 : 25,050.09 = 25,050.09 : x
  2. Step 2: Convert to fraction form
    10,573.88/25,050.09 = 25,050.09/x
  3. Step 3: Cross multiply
    10,573.88x = 25,050.09 × 25,050.09
  4. Step 4: Simplify right side
    10,573.88x = 627,507,196.88
  5. Step 5: Solve for x
    x = 627,507,196.88/10,573.88
  6. Step 6: Final answer
    x = 59,345.06

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.