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Finding the Third Proportional to 20,565 and 43,276.50

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Solution

The third proportional to 20,565 and 43,276.50 is: 91,070.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 43,276.50 = 43,276.50 : x
  2. Step 2: Convert to fraction form
    20,565/43,276.50 = 43,276.50/x
  3. Step 3: Cross multiply
    20,565x = 43,276.50 × 43,276.50
  4. Step 4: Simplify right side
    20,565x = 1,872,855,452.25
  5. Step 5: Solve for x
    x = 1,872,855,452.25/20,565
  6. Step 6: Final answer
    x = 91,070.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.