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Finding the Third Proportional to 220,647 and 340,954.50

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Solution

The third proportional to 220,647 and 340,954.50 is: 526,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,647 : 340,954.50 = 340,954.50 : x
  2. Step 2: Convert to fraction form
    220,647/340,954.50 = 340,954.50/x
  3. Step 3: Cross multiply
    220,647x = 340,954.50 × 340,954.50
  4. Step 4: Simplify right side
    220,647x = 116,249,971,070.25
  5. Step 5: Solve for x
    x = 116,249,971,070.25/220,647
  6. Step 6: Final answer
    x = 526,859.51

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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.