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Finding the Third Proportional to 314.06 and 497.69

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Solution

The third proportional to 314.06 and 497.69 is: 788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 497.69 = 497.69 : x
  2. Step 2: Convert to fraction form
    314.06/497.69 = 497.69/x
  3. Step 3: Cross multiply
    314.06x = 497.69 × 497.69
  4. Step 4: Simplify right side
    314.06x = 247,692.85
  5. Step 5: Solve for x
    x = 247,692.85/314.06
  6. Step 6: Final answer
    x = 788.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.