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Finding the Third Proportional to 195,640 and 310,969

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Solution

The third proportional to 195,640 and 310,969 is: 494,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,640 : 310,969 = 310,969 : x
  2. Step 2: Convert to fraction form
    195,640/310,969 = 310,969/x
  3. Step 3: Cross multiply
    195,640x = 310,969 × 310,969
  4. Step 4: Simplify right side
    195,640x = 96,701,718,961
  5. Step 5: Solve for x
    x = 96,701,718,961/195,640
  6. Step 6: Final answer
    x = 494,283.99

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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.