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Finding the Third Proportional to 306.88 and 669.63

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Solution

The third proportional to 306.88 and 669.63 is: 1,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 669.63 = 669.63 : x
  2. Step 2: Convert to fraction form
    306.88/669.63 = 669.63/x
  3. Step 3: Cross multiply
    306.88x = 669.63 × 669.63
  4. Step 4: Simplify right side
    306.88x = 448,397.64
  5. Step 5: Solve for x
    x = 448,397.64/306.88
  6. Step 6: Final answer
    x = 1,461.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.