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Finding the Third Proportional to 317,742 and 465,921

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Solution

The third proportional to 317,742 and 465,921 is: 683,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,742 : 465,921 = 465,921 : x
  2. Step 2: Convert to fraction form
    317,742/465,921 = 465,921/x
  3. Step 3: Cross multiply
    317,742x = 465,921 × 465,921
  4. Step 4: Simplify right side
    317,742x = 217,082,378,241
  5. Step 5: Solve for x
    x = 217,082,378,241/317,742
  6. Step 6: Final answer
    x = 683,203.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.