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Finding the Third Proportional to 311,310 and 495,516

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Solution

The third proportional to 311,310 and 495,516 is: 788,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,310 : 495,516 = 495,516 : x
  2. Step 2: Convert to fraction form
    311,310/495,516 = 495,516/x
  3. Step 3: Cross multiply
    311,310x = 495,516 × 495,516
  4. Step 4: Simplify right side
    311,310x = 245,536,106,256
  5. Step 5: Solve for x
    x = 245,536,106,256/311,310
  6. Step 6: Final answer
    x = 788,718.98

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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.