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Finding the Third Proportional to 316,278 and 505,845

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Solution

The third proportional to 316,278 and 505,845 is: 809,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,278 : 505,845 = 505,845 : x
  2. Step 2: Convert to fraction form
    316,278/505,845 = 505,845/x
  3. Step 3: Cross multiply
    316,278x = 505,845 × 505,845
  4. Step 4: Simplify right side
    316,278x = 255,879,164,025
  5. Step 5: Solve for x
    x = 255,879,164,025/316,278
  6. Step 6: Final answer
    x = 809,032.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.