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Finding the Third Proportional to 315,816 and 472,224

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Solution

The third proportional to 315,816 and 472,224 is: 706,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,816 : 472,224 = 472,224 : x
  2. Step 2: Convert to fraction form
    315,816/472,224 = 472,224/x
  3. Step 3: Cross multiply
    315,816x = 472,224 × 472,224
  4. Step 4: Simplify right side
    315,816x = 222,995,506,176
  5. Step 5: Solve for x
    x = 222,995,506,176/315,816
  6. Step 6: Final answer
    x = 706,093.12

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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.