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Finding the Third Proportional to 10,460.25 and 22,986

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Solution

The third proportional to 10,460.25 and 22,986 is: 50,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.25 : 22,986 = 22,986 : x
  2. Step 2: Convert to fraction form
    10,460.25/22,986 = 22,986/x
  3. Step 3: Cross multiply
    10,460.25x = 22,986 × 22,986
  4. Step 4: Simplify right side
    10,460.25x = 528,356,196
  5. Step 5: Solve for x
    x = 528,356,196/10,460.25
  6. Step 6: Final answer
    x = 50,510.86

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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.