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Finding the Third Proportional to 209,173 and 314,235

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Solution

The third proportional to 209,173 and 314,235 is: 472,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,173 : 314,235 = 314,235 : x
  2. Step 2: Convert to fraction form
    209,173/314,235 = 314,235/x
  3. Step 3: Cross multiply
    209,173x = 314,235 × 314,235
  4. Step 4: Simplify right side
    209,173x = 98,743,635,225
  5. Step 5: Solve for x
    x = 98,743,635,225/209,173
  6. Step 6: Final answer
    x = 472,066.83

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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.