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Finding the Third Proportional to 21,228.75 and 32,109.75

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Solution

The third proportional to 21,228.75 and 32,109.75 is: 48,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.75 : 32,109.75 = 32,109.75 : x
  2. Step 2: Convert to fraction form
    21,228.75/32,109.75 = 32,109.75/x
  3. Step 3: Cross multiply
    21,228.75x = 32,109.75 × 32,109.75
  4. Step 4: Simplify right side
    21,228.75x = 1,031,036,045.06
  5. Step 5: Solve for x
    x = 1,031,036,045.06/21,228.75
  6. Step 6: Final answer
    x = 48,567.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.