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Finding the Third Proportional to 262,359 and 383,211

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Solution

The third proportional to 262,359 and 383,211 is: 559,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,359 : 383,211 = 383,211 : x
  2. Step 2: Convert to fraction form
    262,359/383,211 = 383,211/x
  3. Step 3: Cross multiply
    262,359x = 383,211 × 383,211
  4. Step 4: Simplify right side
    262,359x = 146,850,670,521
  5. Step 5: Solve for x
    x = 146,850,670,521/262,359
  6. Step 6: Final answer
    x = 559,731.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.