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Finding the Third Proportional to 317,533 and 684,921

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Solution

The third proportional to 317,533 and 684,921 is: 1,477,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,533 : 684,921 = 684,921 : x
  2. Step 2: Convert to fraction form
    317,533/684,921 = 684,921/x
  3. Step 3: Cross multiply
    317,533x = 684,921 × 684,921
  4. Step 4: Simplify right side
    317,533x = 469,116,776,241
  5. Step 5: Solve for x
    x = 469,116,776,241/317,533
  6. Step 6: Final answer
    x = 1,477,379.60

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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.