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Finding the Third Proportional to 282,284 and 438,978

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Solution

The third proportional to 282,284 and 438,978 is: 682,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,284 : 438,978 = 438,978 : x
  2. Step 2: Convert to fraction form
    282,284/438,978 = 438,978/x
  3. Step 3: Cross multiply
    282,284x = 438,978 × 438,978
  4. Step 4: Simplify right side
    282,284x = 192,701,684,484
  5. Step 5: Solve for x
    x = 192,701,684,484/282,284
  6. Step 6: Final answer
    x = 682,651.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.