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Finding the Third Proportional to 311,948 and 472,323

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Solution

The third proportional to 311,948 and 472,323 is: 715,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,948 : 472,323 = 472,323 : x
  2. Step 2: Convert to fraction form
    311,948/472,323 = 472,323/x
  3. Step 3: Cross multiply
    311,948x = 472,323 × 472,323
  4. Step 4: Simplify right side
    311,948x = 223,089,016,329
  5. Step 5: Solve for x
    x = 223,089,016,329/311,948
  6. Step 6: Final answer
    x = 715,148.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.