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Finding the Third Proportional to 130,660 and 286,231

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Solution

The third proportional to 130,660 and 286,231 is: 627,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,660 : 286,231 = 286,231 : x
  2. Step 2: Convert to fraction form
    130,660/286,231 = 286,231/x
  3. Step 3: Cross multiply
    130,660x = 286,231 × 286,231
  4. Step 4: Simplify right side
    130,660x = 81,928,185,361
  5. Step 5: Solve for x
    x = 81,928,185,361/130,660
  6. Step 6: Final answer
    x = 627,033.41

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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.