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Finding the Third Proportional to 335,913.75 and 509,202

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Solution

The third proportional to 335,913.75 and 509,202 is: 771,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,913.75 : 509,202 = 509,202 : x
  2. Step 2: Convert to fraction form
    335,913.75/509,202 = 509,202/x
  3. Step 3: Cross multiply
    335,913.75x = 509,202 × 509,202
  4. Step 4: Simplify right side
    335,913.75x = 259,286,676,804
  5. Step 5: Solve for x
    x = 259,286,676,804/335,913.75
  6. Step 6: Final answer
    x = 771,884.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.