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Finding the Third Proportional to 195,781 and 311,528

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Solution

The third proportional to 195,781 and 311,528 is: 495,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,781 : 311,528 = 311,528 : x
  2. Step 2: Convert to fraction form
    195,781/311,528 = 311,528/x
  3. Step 3: Cross multiply
    195,781x = 311,528 × 311,528
  4. Step 4: Simplify right side
    195,781x = 97,049,694,784
  5. Step 5: Solve for x
    x = 97,049,694,784/195,781
  6. Step 6: Final answer
    x = 495,705.38

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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.