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Finding the Third Proportional to 10,145.25 and 21,907.13

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Solution

The third proportional to 10,145.25 and 21,907.13 is: 47,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.25 : 21,907.13 = 21,907.13 : x
  2. Step 2: Convert to fraction form
    10,145.25/21,907.13 = 21,907.13/x
  3. Step 3: Cross multiply
    10,145.25x = 21,907.13 × 21,907.13
  4. Step 4: Simplify right side
    10,145.25x = 479,922,125.77
  5. Step 5: Solve for x
    x = 479,922,125.77/10,145.25
  6. Step 6: Final answer
    x = 47,305.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.