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Finding the Third Proportional to 209,114 and 315,619

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Solution

The third proportional to 209,114 and 315,619 is: 476,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,114 : 315,619 = 315,619 : x
  2. Step 2: Convert to fraction form
    209,114/315,619 = 315,619/x
  3. Step 3: Cross multiply
    209,114x = 315,619 × 315,619
  4. Step 4: Simplify right side
    209,114x = 99,615,353,161
  5. Step 5: Solve for x
    x = 99,615,353,161/209,114
  6. Step 6: Final answer
    x = 476,368.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.