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Finding the Third Proportional to 319.88 and 700.13

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Solution

The third proportional to 319.88 and 700.13 is: 1,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 700.13 = 700.13 : x
  2. Step 2: Convert to fraction form
    319.88/700.13 = 700.13/x
  3. Step 3: Cross multiply
    319.88x = 700.13 × 700.13
  4. Step 4: Simplify right side
    319.88x = 490,175.02
  5. Step 5: Solve for x
    x = 490,175.02/319.88
  6. Step 6: Final answer
    x = 1,532.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.