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Finding the Third Proportional to 212,491 and 457,768

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Solution

The third proportional to 212,491 and 457,768 is: 986,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,491 : 457,768 = 457,768 : x
  2. Step 2: Convert to fraction form
    212,491/457,768 = 457,768/x
  3. Step 3: Cross multiply
    212,491x = 457,768 × 457,768
  4. Step 4: Simplify right side
    212,491x = 209,551,541,824
  5. Step 5: Solve for x
    x = 209,551,541,824/212,491
  6. Step 6: Final answer
    x = 986,166.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.