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Finding the Third Proportional to 20,823.75 and 29,678.02

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Solution

The third proportional to 20,823.75 and 29,678.02 is: 42,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.75 : 29,678.02 = 29,678.02 : x
  2. Step 2: Convert to fraction form
    20,823.75/29,678.02 = 29,678.02/x
  3. Step 3: Cross multiply
    20,823.75x = 29,678.02 × 29,678.02
  4. Step 4: Simplify right side
    20,823.75x = 880,784,611.44
  5. Step 5: Solve for x
    x = 880,784,611.44/20,823.75
  6. Step 6: Final answer
    x = 42,297.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.