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Finding the Third Proportional to 130,686 and 286,278

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Solution

The third proportional to 130,686 and 286,278 is: 627,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,686 : 286,278 = 286,278 : x
  2. Step 2: Convert to fraction form
    130,686/286,278 = 286,278/x
  3. Step 3: Cross multiply
    130,686x = 286,278 × 286,278
  4. Step 4: Simplify right side
    130,686x = 81,955,093,284
  5. Step 5: Solve for x
    x = 81,955,093,284/130,686
  6. Step 6: Final answer
    x = 627,114.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.