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Finding the Third Proportional to 33,490 and 51,810

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Solution

The third proportional to 33,490 and 51,810 is: 80,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,490 : 51,810 = 51,810 : x
  2. Step 2: Convert to fraction form
    33,490/51,810 = 51,810/x
  3. Step 3: Cross multiply
    33,490x = 51,810 × 51,810
  4. Step 4: Simplify right side
    33,490x = 2,684,276,100
  5. Step 5: Solve for x
    x = 2,684,276,100/33,490
  6. Step 6: Final answer
    x = 80,151.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.