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Finding the Third Proportional to 118,230.50 and 259,454.50

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Solution

The third proportional to 118,230.50 and 259,454.50 is: 569,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,230.50 : 259,454.50 = 259,454.50 : x
  2. Step 2: Convert to fraction form
    118,230.50/259,454.50 = 259,454.50/x
  3. Step 3: Cross multiply
    118,230.50x = 259,454.50 × 259,454.50
  4. Step 4: Simplify right side
    118,230.50x = 67,316,637,570.25
  5. Step 5: Solve for x
    x = 67,316,637,570.25/118,230.50
  6. Step 6: Final answer
    x = 569,367.78

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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.