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Finding the Third Proportional to 282,636 and 578,232

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Solution

The third proportional to 282,636 and 578,232 is: 1,182,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,636 : 578,232 = 578,232 : x
  2. Step 2: Convert to fraction form
    282,636/578,232 = 578,232/x
  3. Step 3: Cross multiply
    282,636x = 578,232 × 578,232
  4. Step 4: Simplify right side
    282,636x = 334,352,245,824
  5. Step 5: Solve for x
    x = 334,352,245,824/282,636
  6. Step 6: Final answer
    x = 1,182,978.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.