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Finding the Third Proportional to 21,143.53 and 45,975.73

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Solution

The third proportional to 21,143.53 and 45,975.73 is: 99,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.53 : 45,975.73 = 45,975.73 : x
  2. Step 2: Convert to fraction form
    21,143.53/45,975.73 = 45,975.73/x
  3. Step 3: Cross multiply
    21,143.53x = 45,975.73 × 45,975.73
  4. Step 4: Simplify right side
    21,143.53x = 2,113,767,432.95
  5. Step 5: Solve for x
    x = 2,113,767,432.95/21,143.53
  6. Step 6: Final answer
    x = 99,972.30

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Why These Related Problems?

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