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Finding the Third Proportional to 295,640 and 612,278

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Solution

The third proportional to 295,640 and 612,278 is: 1,268,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,640 : 612,278 = 612,278 : x
  2. Step 2: Convert to fraction form
    295,640/612,278 = 612,278/x
  3. Step 3: Cross multiply
    295,640x = 612,278 × 612,278
  4. Step 4: Simplify right side
    295,640x = 374,884,349,284
  5. Step 5: Solve for x
    x = 374,884,349,284/295,640
  6. Step 6: Final answer
    x = 1,268,043.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.