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Finding the Third Proportional to 261,648 and 383,124

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Solution

The third proportional to 261,648 and 383,124 is: 560,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,648 : 383,124 = 383,124 : x
  2. Step 2: Convert to fraction form
    261,648/383,124 = 383,124/x
  3. Step 3: Cross multiply
    261,648x = 383,124 × 383,124
  4. Step 4: Simplify right side
    261,648x = 146,783,999,376
  5. Step 5: Solve for x
    x = 146,783,999,376/261,648
  6. Step 6: Final answer
    x = 560,997.98

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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.