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Finding the Third Proportional to 15,459 and 20,998.50

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Solution

The third proportional to 15,459 and 20,998.50 is: 28,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459 : 20,998.50 = 20,998.50 : x
  2. Step 2: Convert to fraction form
    15,459/20,998.50 = 20,998.50/x
  3. Step 3: Cross multiply
    15,459x = 20,998.50 × 20,998.50
  4. Step 4: Simplify right side
    15,459x = 440,937,002.25
  5. Step 5: Solve for x
    x = 440,937,002.25/15,459
  6. Step 6: Final answer
    x = 28,523.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.