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Finding the Third Proportional to 319.16 and 651.78

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Solution

The third proportional to 319.16 and 651.78 is: 1,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.16 : 651.78 = 651.78 : x
  2. Step 2: Convert to fraction form
    319.16/651.78 = 651.78/x
  3. Step 3: Cross multiply
    319.16x = 651.78 × 651.78
  4. Step 4: Simplify right side
    319.16x = 424,818.80
  5. Step 5: Solve for x
    x = 424,818.80/319.16
  6. Step 6: Final answer
    x = 1,331.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.