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Finding the Third Proportional to 309,369.84 and 492,273.19

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Solution

The third proportional to 309,369.84 and 492,273.19 is: 783,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,369.84 : 492,273.19 = 492,273.19 : x
  2. Step 2: Convert to fraction form
    309,369.84/492,273.19 = 492,273.19/x
  3. Step 3: Cross multiply
    309,369.84x = 492,273.19 × 492,273.19
  4. Step 4: Simplify right side
    309,369.84x = 242,332,891,131.41
  5. Step 5: Solve for x
    x = 242,332,891,131.41/309,369.84
  6. Step 6: Final answer
    x = 783,311.29

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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.