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Finding the Third Proportional to 117,784.50 and 255,639

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Solution

The third proportional to 117,784.50 and 255,639 is: 554,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,784.50 : 255,639 = 255,639 : x
  2. Step 2: Convert to fraction form
    117,784.50/255,639 = 255,639/x
  3. Step 3: Cross multiply
    117,784.50x = 255,639 × 255,639
  4. Step 4: Simplify right side
    117,784.50x = 65,351,298,321
  5. Step 5: Solve for x
    x = 65,351,298,321/117,784.50
  6. Step 6: Final answer
    x = 554,837.85

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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.