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Finding the Third Proportional to 307,101 and 664,506

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Solution

The third proportional to 307,101 and 664,506 is: 1,437,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,101 : 664,506 = 664,506 : x
  2. Step 2: Convert to fraction form
    307,101/664,506 = 664,506/x
  3. Step 3: Cross multiply
    307,101x = 664,506 × 664,506
  4. Step 4: Simplify right side
    307,101x = 441,568,224,036
  5. Step 5: Solve for x
    x = 441,568,224,036/307,101
  6. Step 6: Final answer
    x = 1,437,859.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.