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Finding the Third Proportional to 50,206.50 and 110,116.13

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Solution

The third proportional to 50,206.50 and 110,116.13 is: 241,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.50 : 110,116.13 = 110,116.13 : x
  2. Step 2: Convert to fraction form
    50,206.50/110,116.13 = 110,116.13/x
  3. Step 3: Cross multiply
    50,206.50x = 110,116.13 × 110,116.13
  4. Step 4: Simplify right side
    50,206.50x = 12,125,560,985.02
  5. Step 5: Solve for x
    x = 12,125,560,985.02/50,206.50
  6. Step 6: Final answer
    x = 241,513.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.