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Finding the Third Proportional to 195,639.75 and 310,969.13

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Solution

The third proportional to 195,639.75 and 310,969.13 is: 494,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,639.75 : 310,969.13 = 310,969.13 : x
  2. Step 2: Convert to fraction form
    195,639.75/310,969.13 = 310,969.13/x
  3. Step 3: Cross multiply
    195,639.75x = 310,969.13 × 310,969.13
  4. Step 4: Simplify right side
    195,639.75x = 96,701,796,703.27
  5. Step 5: Solve for x
    x = 96,701,796,703.27/195,639.75
  6. Step 6: Final answer
    x = 494,285.01

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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.