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Finding the Third Proportional to 162.74 and 358.07

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Solution

The third proportional to 162.74 and 358.07 is: 787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.74 : 358.07 = 358.07 : x
  2. Step 2: Convert to fraction form
    162.74/358.07 = 358.07/x
  3. Step 3: Cross multiply
    162.74x = 358.07 × 358.07
  4. Step 4: Simplify right side
    162.74x = 128,211.55
  5. Step 5: Solve for x
    x = 128,211.55/162.74
  6. Step 6: Final answer
    x = 787.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.