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Finding the Third Proportional to 4,543.50 and 9,782.25

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Solution

The third proportional to 4,543.50 and 9,782.25 is: 21,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.50 : 9,782.25 = 9,782.25 : x
  2. Step 2: Convert to fraction form
    4,543.50/9,782.25 = 9,782.25/x
  3. Step 3: Cross multiply
    4,543.50x = 9,782.25 × 9,782.25
  4. Step 4: Simplify right side
    4,543.50x = 95,692,415.06
  5. Step 5: Solve for x
    x = 95,692,415.06/4,543.50
  6. Step 6: Final answer
    x = 21,061.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.