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Finding the Third Proportional to 8,456.17 and 18,353.36

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Solution

The third proportional to 8,456.17 and 18,353.36 is: 39,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.17 : 18,353.36 = 18,353.36 : x
  2. Step 2: Convert to fraction form
    8,456.17/18,353.36 = 18,353.36/x
  3. Step 3: Cross multiply
    8,456.17x = 18,353.36 × 18,353.36
  4. Step 4: Simplify right side
    8,456.17x = 336,845,656.96
  5. Step 5: Solve for x
    x = 336,845,656.96/8,456.17
  6. Step 6: Final answer
    x = 39,834.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.