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Finding the Third Proportional to 481,709 and 677,753

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Solution

The third proportional to 481,709 and 677,753 is: 953,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,709 : 677,753 = 677,753 : x
  2. Step 2: Convert to fraction form
    481,709/677,753 = 677,753/x
  3. Step 3: Cross multiply
    481,709x = 677,753 × 677,753
  4. Step 4: Simplify right side
    481,709x = 459,349,129,009
  5. Step 5: Solve for x
    x = 459,349,129,009/481,709
  6. Step 6: Final answer
    x = 953,582.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.