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Finding the Third Proportional to 160,302 and 342,046.50

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Solution

The third proportional to 160,302 and 342,046.50 is: 729,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,302 : 342,046.50 = 342,046.50 : x
  2. Step 2: Convert to fraction form
    160,302/342,046.50 = 342,046.50/x
  3. Step 3: Cross multiply
    160,302x = 342,046.50 × 342,046.50
  4. Step 4: Simplify right side
    160,302x = 116,995,808,162.25
  5. Step 5: Solve for x
    x = 116,995,808,162.25/160,302
  6. Step 6: Final answer
    x = 729,846.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.