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Finding the Third Proportional to 311,312 and 495,519

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Solution

The third proportional to 311,312 and 495,519 is: 788,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,312 : 495,519 = 495,519 : x
  2. Step 2: Convert to fraction form
    311,312/495,519 = 495,519/x
  3. Step 3: Cross multiply
    311,312x = 495,519 × 495,519
  4. Step 4: Simplify right side
    311,312x = 245,539,079,361
  5. Step 5: Solve for x
    x = 245,539,079,361/311,312
  6. Step 6: Final answer
    x = 788,723.47

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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.