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Finding the Third Proportional to 64.75 and 130.63

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Solution

The third proportional to 64.75 and 130.63 is: 263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 130.63 = 130.63 : x
  2. Step 2: Convert to fraction form
    64.75/130.63 = 130.63/x
  3. Step 3: Cross multiply
    64.75x = 130.63 × 130.63
  4. Step 4: Simplify right side
    64.75x = 17,062.89
  5. Step 5: Solve for x
    x = 17,062.89/64.75
  6. Step 6: Final answer
    x = 263.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.