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Finding the Third Proportional to 430.42 and 506.36

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Solution

The third proportional to 430.42 and 506.36 is: 595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.42 : 506.36 = 506.36 : x
  2. Step 2: Convert to fraction form
    430.42/506.36 = 506.36/x
  3. Step 3: Cross multiply
    430.42x = 506.36 × 506.36
  4. Step 4: Simplify right side
    430.42x = 256,395.86
  5. Step 5: Solve for x
    x = 256,395.86/430.42
  6. Step 6: Final answer
    x = 595.69

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.