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Finding the Third Proportional to 117,980.16 and 255,643.31

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Solution

The third proportional to 117,980.16 and 255,643.31 is: 553,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,980.16 : 255,643.31 = 255,643.31 : x
  2. Step 2: Convert to fraction form
    117,980.16/255,643.31 = 255,643.31/x
  3. Step 3: Cross multiply
    117,980.16x = 255,643.31 × 255,643.31
  4. Step 4: Simplify right side
    117,980.16x = 65,353,503,225.97
  5. Step 5: Solve for x
    x = 65,353,503,225.97/117,980.16
  6. Step 6: Final answer
    x = 553,936.40

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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.