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Finding the Third Proportional to 335,943 and 509,244.75

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Solution

The third proportional to 335,943 and 509,244.75 is: 771,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,943 : 509,244.75 = 509,244.75 : x
  2. Step 2: Convert to fraction form
    335,943/509,244.75 = 509,244.75/x
  3. Step 3: Cross multiply
    335,943x = 509,244.75 × 509,244.75
  4. Step 4: Simplify right side
    335,943x = 259,330,215,402.56
  5. Step 5: Solve for x
    x = 259,330,215,402.56/335,943
  6. Step 6: Final answer
    x = 771,947.07

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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.