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Finding the Third Proportional to 20,215 and 28,856.50

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Solution

The third proportional to 20,215 and 28,856.50 is: 41,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215 : 28,856.50 = 28,856.50 : x
  2. Step 2: Convert to fraction form
    20,215/28,856.50 = 28,856.50/x
  3. Step 3: Cross multiply
    20,215x = 28,856.50 × 28,856.50
  4. Step 4: Simplify right side
    20,215x = 832,697,592.25
  5. Step 5: Solve for x
    x = 832,697,592.25/20,215
  6. Step 6: Final answer
    x = 41,192.06

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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.