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Finding the Third Proportional to 464,505 and 678,831

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Solution

The third proportional to 464,505 and 678,831 is: 992,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,505 : 678,831 = 678,831 : x
  2. Step 2: Convert to fraction form
    464,505/678,831 = 678,831/x
  3. Step 3: Cross multiply
    464,505x = 678,831 × 678,831
  4. Step 4: Simplify right side
    464,505x = 460,811,526,561
  5. Step 5: Solve for x
    x = 460,811,526,561/464,505
  6. Step 6: Final answer
    x = 992,048.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.