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Finding the Third Proportional to 506.36 and 681.06

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Solution

The third proportional to 506.36 and 681.06 is: 916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 681.06 = 681.06 : x
  2. Step 2: Convert to fraction form
    506.36/681.06 = 681.06/x
  3. Step 3: Cross multiply
    506.36x = 681.06 × 681.06
  4. Step 4: Simplify right side
    506.36x = 463,848.79
  5. Step 5: Solve for x
    x = 463,848.79/506.36
  6. Step 6: Final answer
    x = 916.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.