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Finding the Third Proportional to 265.63 and 358.63

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Solution

The third proportional to 265.63 and 358.63 is: 484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.63 : 358.63 = 358.63 : x
  2. Step 2: Convert to fraction form
    265.63/358.63 = 358.63/x
  3. Step 3: Cross multiply
    265.63x = 358.63 × 358.63
  4. Step 4: Simplify right side
    265.63x = 128,611.89
  5. Step 5: Solve for x
    x = 128,611.89/265.63
  6. Step 6: Final answer
    x = 484.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.