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Finding the Third Proportional to 118,983 and 258,702

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Solution

The third proportional to 118,983 and 258,702 is: 562,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,983 : 258,702 = 258,702 : x
  2. Step 2: Convert to fraction form
    118,983/258,702 = 258,702/x
  3. Step 3: Cross multiply
    118,983x = 258,702 × 258,702
  4. Step 4: Simplify right side
    118,983x = 66,926,724,804
  5. Step 5: Solve for x
    x = 66,926,724,804/118,983
  6. Step 6: Final answer
    x = 562,489.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.