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Finding the Third Proportional to 315,119 and 472,908

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Solution

The third proportional to 315,119 and 472,908 is: 709,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,119 : 472,908 = 472,908 : x
  2. Step 2: Convert to fraction form
    315,119/472,908 = 472,908/x
  3. Step 3: Cross multiply
    315,119x = 472,908 × 472,908
  4. Step 4: Simplify right side
    315,119x = 223,641,976,464
  5. Step 5: Solve for x
    x = 223,641,976,464/315,119
  6. Step 6: Final answer
    x = 709,706.42

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Why These Related Problems?

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