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Finding the Third Proportional to 235,077 and 509,520

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Solution

The third proportional to 235,077 and 509,520 is: 1,104,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,077 : 509,520 = 509,520 : x
  2. Step 2: Convert to fraction form
    235,077/509,520 = 509,520/x
  3. Step 3: Cross multiply
    235,077x = 509,520 × 509,520
  4. Step 4: Simplify right side
    235,077x = 259,610,630,400
  5. Step 5: Solve for x
    x = 259,610,630,400/235,077
  6. Step 6: Final answer
    x = 1,104,364.23

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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.