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Finding the Third Proportional to 117,778.50 and 257,986.69

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Solution

The third proportional to 117,778.50 and 257,986.69 is: 565,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,778.50 : 257,986.69 = 257,986.69 : x
  2. Step 2: Convert to fraction form
    117,778.50/257,986.69 = 257,986.69/x
  3. Step 3: Cross multiply
    117,778.50x = 257,986.69 × 257,986.69
  4. Step 4: Simplify right side
    117,778.50x = 66,557,130,927.22
  5. Step 5: Solve for x
    x = 66,557,130,927.22/117,778.50
  6. Step 6: Final answer
    x = 565,104.25

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1.5x scale

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.