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Finding the Third Proportional to 311,890.50 and 495,830.25

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Solution

The third proportional to 311,890.50 and 495,830.25 is: 788,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,890.50 : 495,830.25 = 495,830.25 : x
  2. Step 2: Convert to fraction form
    311,890.50/495,830.25 = 495,830.25/x
  3. Step 3: Cross multiply
    311,890.50x = 495,830.25 × 495,830.25
  4. Step 4: Simplify right side
    311,890.50x = 245,847,636,815.06
  5. Step 5: Solve for x
    x = 245,847,636,815.06/311,890.50
  6. Step 6: Final answer
    x = 788,249.84

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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.