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Finding the Third Proportional to 220,470 and 340,647.75

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Solution

The third proportional to 220,470 and 340,647.75 is: 526,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,470 : 340,647.75 = 340,647.75 : x
  2. Step 2: Convert to fraction form
    220,470/340,647.75 = 340,647.75/x
  3. Step 3: Cross multiply
    220,470x = 340,647.75 × 340,647.75
  4. Step 4: Simplify right side
    220,470x = 116,040,889,580.06
  5. Step 5: Solve for x
    x = 116,040,889,580.06/220,470
  6. Step 6: Final answer
    x = 526,334.15

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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.