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Finding the Third Proportional to 160,260 and 342,754.50

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Solution

The third proportional to 160,260 and 342,754.50 is: 733,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,260 : 342,754.50 = 342,754.50 : x
  2. Step 2: Convert to fraction form
    160,260/342,754.50 = 342,754.50/x
  3. Step 3: Cross multiply
    160,260x = 342,754.50 × 342,754.50
  4. Step 4: Simplify right side
    160,260x = 117,480,647,270.25
  5. Step 5: Solve for x
    x = 117,480,647,270.25/160,260
  6. Step 6: Final answer
    x = 733,062.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.