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Finding the Third Proportional to 9,577.13 and 22,255.13

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Solution

The third proportional to 9,577.13 and 22,255.13 is: 51,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.13 : 22,255.13 = 22,255.13 : x
  2. Step 2: Convert to fraction form
    9,577.13/22,255.13 = 22,255.13/x
  3. Step 3: Cross multiply
    9,577.13x = 22,255.13 × 22,255.13
  4. Step 4: Simplify right side
    9,577.13x = 495,290,588.77
  5. Step 5: Solve for x
    x = 495,290,588.77/9,577.13
  6. Step 6: Final answer
    x = 51,716.00

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.