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Finding the Third Proportional to 317,179 and 683,871

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Solution

The third proportional to 317,179 and 683,871 is: 1,474,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,179 : 683,871 = 683,871 : x
  2. Step 2: Convert to fraction form
    317,179/683,871 = 683,871/x
  3. Step 3: Cross multiply
    317,179x = 683,871 × 683,871
  4. Step 4: Simplify right side
    317,179x = 467,679,544,641
  5. Step 5: Solve for x
    x = 467,679,544,641/317,179
  6. Step 6: Final answer
    x = 1,474,497.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.