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Finding the Third Proportional to 33,547.50 and 79,201.13

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Solution

The third proportional to 33,547.50 and 79,201.13 is: 186,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.50 : 79,201.13 = 79,201.13 : x
  2. Step 2: Convert to fraction form
    33,547.50/79,201.13 = 79,201.13/x
  3. Step 3: Cross multiply
    33,547.50x = 79,201.13 × 79,201.13
  4. Step 4: Simplify right side
    33,547.50x = 6,272,818,201.27
  5. Step 5: Solve for x
    x = 6,272,818,201.27/33,547.50
  6. Step 6: Final answer
    x = 186,983.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.