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Finding the Third Proportional to 248,236 and 383,586

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Solution

The third proportional to 248,236 and 383,586 is: 592,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,236 : 383,586 = 383,586 : x
  2. Step 2: Convert to fraction form
    248,236/383,586 = 383,586/x
  3. Step 3: Cross multiply
    248,236x = 383,586 × 383,586
  4. Step 4: Simplify right side
    248,236x = 147,138,219,396
  5. Step 5: Solve for x
    x = 147,138,219,396/248,236
  6. Step 6: Final answer
    x = 592,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.