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Finding the Third Proportional to 130.63 and 297.31

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Solution

The third proportional to 130.63 and 297.31 is: 676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.63 : 297.31 = 297.31 : x
  2. Step 2: Convert to fraction form
    130.63/297.31 = 297.31/x
  3. Step 3: Cross multiply
    130.63x = 297.31 × 297.31
  4. Step 4: Simplify right side
    130.63x = 88,394.72
  5. Step 5: Solve for x
    x = 88,394.72/130.63
  6. Step 6: Final answer
    x = 676.71

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.