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Finding the Third Proportional to 311,922 and 495,878

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Solution

The third proportional to 311,922 and 495,878 is: 788,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,922 : 495,878 = 495,878 : x
  2. Step 2: Convert to fraction form
    311,922/495,878 = 495,878/x
  3. Step 3: Cross multiply
    311,922x = 495,878 × 495,878
  4. Step 4: Simplify right side
    311,922x = 245,894,990,884
  5. Step 5: Solve for x
    x = 245,894,990,884/311,922
  6. Step 6: Final answer
    x = 788,322.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.