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Finding the Third Proportional to 430.31 and 544.22

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Solution

The third proportional to 430.31 and 544.22 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.31 : 544.22 = 544.22 : x
  2. Step 2: Convert to fraction form
    430.31/544.22 = 544.22/x
  3. Step 3: Cross multiply
    430.31x = 544.22 × 544.22
  4. Step 4: Simplify right side
    430.31x = 296,174.05
  5. Step 5: Solve for x
    x = 296,174.05/430.31
  6. Step 6: Final answer
    x = 688.28

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.