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Finding the Third Proportional to 212,562 and 317,708

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Solution

The third proportional to 212,562 and 317,708 is: 474,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,562 : 317,708 = 317,708 : x
  2. Step 2: Convert to fraction form
    212,562/317,708 = 317,708/x
  3. Step 3: Cross multiply
    212,562x = 317,708 × 317,708
  4. Step 4: Simplify right side
    212,562x = 100,938,373,264
  5. Step 5: Solve for x
    x = 100,938,373,264/212,562
  6. Step 6: Final answer
    x = 474,865.56

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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.