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Finding the Third Proportional to 209,736 and 314,628

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Solution

The third proportional to 209,736 and 314,628 is: 471,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,736 : 314,628 = 314,628 : x
  2. Step 2: Convert to fraction form
    209,736/314,628 = 314,628/x
  3. Step 3: Cross multiply
    209,736x = 314,628 × 314,628
  4. Step 4: Simplify right side
    209,736x = 98,990,778,384
  5. Step 5: Solve for x
    x = 98,990,778,384/209,736
  6. Step 6: Final answer
    x = 471,978.00

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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.