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Finding the Third Proportional to 212,444 and 315,777

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Solution

The third proportional to 212,444 and 315,777 is: 469,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,444 : 315,777 = 315,777 : x
  2. Step 2: Convert to fraction form
    212,444/315,777 = 315,777/x
  3. Step 3: Cross multiply
    212,444x = 315,777 × 315,777
  4. Step 4: Simplify right side
    212,444x = 99,715,113,729
  5. Step 5: Solve for x
    x = 99,715,113,729/212,444
  6. Step 6: Final answer
    x = 469,371.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.