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Finding the Third Proportional to 15,537 and 20,701.50

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Solution

The third proportional to 15,537 and 20,701.50 is: 27,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537 : 20,701.50 = 20,701.50 : x
  2. Step 2: Convert to fraction form
    15,537/20,701.50 = 20,701.50/x
  3. Step 3: Cross multiply
    15,537x = 20,701.50 × 20,701.50
  4. Step 4: Simplify right side
    15,537x = 428,552,102.25
  5. Step 5: Solve for x
    x = 428,552,102.25/15,537
  6. Step 6: Final answer
    x = 27,582.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.