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Finding the Third Proportional to 209,072 and 314,079

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Solution

The third proportional to 209,072 and 314,079 is: 471,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,072 : 314,079 = 314,079 : x
  2. Step 2: Convert to fraction form
    209,072/314,079 = 314,079/x
  3. Step 3: Cross multiply
    209,072x = 314,079 × 314,079
  4. Step 4: Simplify right side
    209,072x = 98,645,618,241
  5. Step 5: Solve for x
    x = 98,645,618,241/209,072
  6. Step 6: Final answer
    x = 471,826.06

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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.