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Finding the Third Proportional to 4,543.63 and 9,783.25

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Solution

The third proportional to 4,543.63 and 9,783.25 is: 21,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.63 : 9,783.25 = 9,783.25 : x
  2. Step 2: Convert to fraction form
    4,543.63/9,783.25 = 9,783.25/x
  3. Step 3: Cross multiply
    4,543.63x = 9,783.25 × 9,783.25
  4. Step 4: Simplify right side
    4,543.63x = 95,711,980.56
  5. Step 5: Solve for x
    x = 95,711,980.56/4,543.63
  6. Step 6: Final answer
    x = 21,065.11

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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.