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Finding the Third Proportional to 117,980.25 and 255,643.88

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Solution

The third proportional to 117,980.25 and 255,643.88 is: 553,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,980.25 : 255,643.88 = 255,643.88 : x
  2. Step 2: Convert to fraction form
    117,980.25/255,643.88 = 255,643.88/x
  3. Step 3: Cross multiply
    117,980.25x = 255,643.88 × 255,643.88
  4. Step 4: Simplify right side
    117,980.25x = 65,353,790,825.02
  5. Step 5: Solve for x
    x = 65,353,790,825.02/117,980.25
  6. Step 6: Final answer
    x = 553,938.40

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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.