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Finding the Third Proportional to 209,782 and 314,600

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Solution

The third proportional to 209,782 and 314,600 is: 471,790.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,782 : 314,600 = 314,600 : x
  2. Step 2: Convert to fraction form
    209,782/314,600 = 314,600/x
  3. Step 3: Cross multiply
    209,782x = 314,600 × 314,600
  4. Step 4: Simplify right side
    209,782x = 98,973,160,000
  5. Step 5: Solve for x
    x = 98,973,160,000/209,782
  6. Step 6: Final answer
    x = 471,790.53

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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.