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Finding the Third Proportional to 254,830 and 382,208

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Solution

The third proportional to 254,830 and 382,208 is: 573,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,830 : 382,208 = 382,208 : x
  2. Step 2: Convert to fraction form
    254,830/382,208 = 382,208/x
  3. Step 3: Cross multiply
    254,830x = 382,208 × 382,208
  4. Step 4: Simplify right side
    254,830x = 146,082,955,264
  5. Step 5: Solve for x
    x = 146,082,955,264/254,830
  6. Step 6: Final answer
    x = 573,256.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.