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Finding the Third Proportional to 476.36 and 688.06

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Solution

The third proportional to 476.36 and 688.06 is: 993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 688.06 = 688.06 : x
  2. Step 2: Convert to fraction form
    476.36/688.06 = 688.06/x
  3. Step 3: Cross multiply
    476.36x = 688.06 × 688.06
  4. Step 4: Simplify right side
    476.36x = 473,433.36
  5. Step 5: Solve for x
    x = 473,433.36/476.36
  6. Step 6: Final answer
    x = 993.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.