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Finding the Third Proportional to 258,380 and 556,336

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Solution

The third proportional to 258,380 and 556,336 is: 1,197,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,380 : 556,336 = 556,336 : x
  2. Step 2: Convert to fraction form
    258,380/556,336 = 556,336/x
  3. Step 3: Cross multiply
    258,380x = 556,336 × 556,336
  4. Step 4: Simplify right side
    258,380x = 309,509,744,896
  5. Step 5: Solve for x
    x = 309,509,744,896/258,380
  6. Step 6: Final answer
    x = 1,197,885.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.