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Finding the Third Proportional to 319.03 and 702.66

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Solution

The third proportional to 319.03 and 702.66 is: 1,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.03 : 702.66 = 702.66 : x
  2. Step 2: Convert to fraction form
    319.03/702.66 = 702.66/x
  3. Step 3: Cross multiply
    319.03x = 702.66 × 702.66
  4. Step 4: Simplify right side
    319.03x = 493,729.92
  5. Step 5: Solve for x
    x = 493,729.92/319.03
  6. Step 6: Final answer
    x = 1,547.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.