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Finding the Third Proportional to 209,745 and 314,640

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Solution

The third proportional to 209,745 and 314,640 is: 471,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,745 : 314,640 = 314,640 : x
  2. Step 2: Convert to fraction form
    209,745/314,640 = 314,640/x
  3. Step 3: Cross multiply
    209,745x = 314,640 × 314,640
  4. Step 4: Simplify right side
    209,745x = 98,998,329,600
  5. Step 5: Solve for x
    x = 98,998,329,600/209,745
  6. Step 6: Final answer
    x = 471,993.75

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