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Finding the Third Proportional to 315,122 and 472,912

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Solution

The third proportional to 315,122 and 472,912 is: 709,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,122 : 472,912 = 472,912 : x
  2. Step 2: Convert to fraction form
    315,122/472,912 = 472,912/x
  3. Step 3: Cross multiply
    315,122x = 472,912 × 472,912
  4. Step 4: Simplify right side
    315,122x = 223,645,759,744
  5. Step 5: Solve for x
    x = 223,645,759,744/315,122
  6. Step 6: Final answer
    x = 709,711.67

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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.