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Finding the Third Proportional to 481,720 and 677,768

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Solution

The third proportional to 481,720 and 677,768 is: 953,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,720 : 677,768 = 677,768 : x
  2. Step 2: Convert to fraction form
    481,720/677,768 = 677,768/x
  3. Step 3: Cross multiply
    481,720x = 677,768 × 677,768
  4. Step 4: Simplify right side
    481,720x = 459,369,461,824
  5. Step 5: Solve for x
    x = 459,369,461,824/481,720
  6. Step 6: Final answer
    x = 953,602.64

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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.