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Finding the Third Proportional to 310.39 and 669.51

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Solution

The third proportional to 310.39 and 669.51 is: 1,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.39 : 669.51 = 669.51 : x
  2. Step 2: Convert to fraction form
    310.39/669.51 = 669.51/x
  3. Step 3: Cross multiply
    310.39x = 669.51 × 669.51
  4. Step 4: Simplify right side
    310.39x = 448,244.55
  5. Step 5: Solve for x
    x = 448,244.55/310.39
  6. Step 6: Final answer
    x = 1,444.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.