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Finding the Third Proportional to 235,885.50 and 509,319

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Solution

The third proportional to 235,885.50 and 509,319 is: 1,099,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,885.50 : 509,319 = 509,319 : x
  2. Step 2: Convert to fraction form
    235,885.50/509,319 = 509,319/x
  3. Step 3: Cross multiply
    235,885.50x = 509,319 × 509,319
  4. Step 4: Simplify right side
    235,885.50x = 259,405,843,761
  5. Step 5: Solve for x
    x = 259,405,843,761/235,885.50
  6. Step 6: Final answer
    x = 1,099,710.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.