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Finding the Third Proportional to 5,167.55 and 10,783.13

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Solution

The third proportional to 5,167.55 and 10,783.13 is: 22,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.55 : 10,783.13 = 10,783.13 : x
  2. Step 2: Convert to fraction form
    5,167.55/10,783.13 = 10,783.13/x
  3. Step 3: Cross multiply
    5,167.55x = 10,783.13 × 10,783.13
  4. Step 4: Simplify right side
    5,167.55x = 116,275,784.77
  5. Step 5: Solve for x
    x = 116,275,784.77/5,167.55
  6. Step 6: Final answer
    x = 22,501.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.