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Finding the Third Proportional to 307,306 and 670,648

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Solution

The third proportional to 307,306 and 670,648 is: 1,463,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,306 : 670,648 = 670,648 : x
  2. Step 2: Convert to fraction form
    307,306/670,648 = 670,648/x
  3. Step 3: Cross multiply
    307,306x = 670,648 × 670,648
  4. Step 4: Simplify right side
    307,306x = 449,768,739,904
  5. Step 5: Solve for x
    x = 449,768,739,904/307,306
  6. Step 6: Final answer
    x = 1,463,585.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.