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Finding the Third Proportional to 334,370 and 513,219

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Solution

The third proportional to 334,370 and 513,219 is: 787,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,370 : 513,219 = 513,219 : x
  2. Step 2: Convert to fraction form
    334,370/513,219 = 513,219/x
  3. Step 3: Cross multiply
    334,370x = 513,219 × 513,219
  4. Step 4: Simplify right side
    334,370x = 263,393,741,961
  5. Step 5: Solve for x
    x = 263,393,741,961/334,370
  6. Step 6: Final answer
    x = 787,731.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.