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Finding the Third Proportional to 207,670 and 315,610

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Solution

The third proportional to 207,670 and 315,610 is: 479,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,670 : 315,610 = 315,610 : x
  2. Step 2: Convert to fraction form
    207,670/315,610 = 315,610/x
  3. Step 3: Cross multiply
    207,670x = 315,610 × 315,610
  4. Step 4: Simplify right side
    207,670x = 99,609,672,100
  5. Step 5: Solve for x
    x = 99,609,672,100/207,670
  6. Step 6: Final answer
    x = 479,653.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.