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Finding the Third Proportional to 9,052.50 and 19,563

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Solution

The third proportional to 9,052.50 and 19,563 is: 42,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.50 : 19,563 = 19,563 : x
  2. Step 2: Convert to fraction form
    9,052.50/19,563 = 19,563/x
  3. Step 3: Cross multiply
    9,052.50x = 19,563 × 19,563
  4. Step 4: Simplify right side
    9,052.50x = 382,710,969
  5. Step 5: Solve for x
    x = 382,710,969/9,052.50
  6. Step 6: Final answer
    x = 42,276.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.