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Finding the Third Proportional to 209,012 and 313,028

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Solution

The third proportional to 209,012 and 313,028 is: 468,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,012 : 313,028 = 313,028 : x
  2. Step 2: Convert to fraction form
    209,012/313,028 = 313,028/x
  3. Step 3: Cross multiply
    209,012x = 313,028 × 313,028
  4. Step 4: Simplify right side
    209,012x = 97,986,528,784
  5. Step 5: Solve for x
    x = 97,986,528,784/209,012
  6. Step 6: Final answer
    x = 468,808.15

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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.