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Finding the Third Proportional to 100,055.25 and 221,114.81

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Solution

The third proportional to 100,055.25 and 221,114.81 is: 488,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,055.25 : 221,114.81 = 221,114.81 : x
  2. Step 2: Convert to fraction form
    100,055.25/221,114.81 = 221,114.81/x
  3. Step 3: Cross multiply
    100,055.25x = 221,114.81 × 221,114.81
  4. Step 4: Simplify right side
    100,055.25x = 48,891,760,306.91
  5. Step 5: Solve for x
    x = 48,891,760,306.91/100,055.25
  6. Step 6: Final answer
    x = 488,647.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.