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Finding the Third Proportional to 215.63 and 458.63

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Solution

The third proportional to 215.63 and 458.63 is: 975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.63 : 458.63 = 458.63 : x
  2. Step 2: Convert to fraction form
    215.63/458.63 = 458.63/x
  3. Step 3: Cross multiply
    215.63x = 458.63 × 458.63
  4. Step 4: Simplify right side
    215.63x = 210,336.89
  5. Step 5: Solve for x
    x = 210,336.89/215.63
  6. Step 6: Final answer
    x = 975.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.