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Finding the Third Proportional to 209,716 and 315,166

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Solution

The third proportional to 209,716 and 315,166 is: 473,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,716 : 315,166 = 315,166 : x
  2. Step 2: Convert to fraction form
    209,716/315,166 = 315,166/x
  3. Step 3: Cross multiply
    209,716x = 315,166 × 315,166
  4. Step 4: Simplify right side
    209,716x = 99,329,607,556
  5. Step 5: Solve for x
    x = 99,329,607,556/209,716
  6. Step 6: Final answer
    x = 473,638.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.