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Finding the Third Proportional to 341,716 and 509,745

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Solution

The third proportional to 341,716 and 509,745 is: 760,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,716 : 509,745 = 509,745 : x
  2. Step 2: Convert to fraction form
    341,716/509,745 = 509,745/x
  3. Step 3: Cross multiply
    341,716x = 509,745 × 509,745
  4. Step 4: Simplify right side
    341,716x = 259,839,965,025
  5. Step 5: Solve for x
    x = 259,839,965,025/341,716
  6. Step 6: Final answer
    x = 760,397.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.