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Finding the Third Proportional to 212,764 and 317,640

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Solution

The third proportional to 212,764 and 317,640 is: 474,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,764 : 317,640 = 317,640 : x
  2. Step 2: Convert to fraction form
    212,764/317,640 = 317,640/x
  3. Step 3: Cross multiply
    212,764x = 317,640 × 317,640
  4. Step 4: Simplify right side
    212,764x = 100,895,169,600
  5. Step 5: Solve for x
    x = 100,895,169,600/212,764
  6. Step 6: Final answer
    x = 474,211.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.