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Finding the Third Proportional to 464,505 and 678,834

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Solution

The third proportional to 464,505 and 678,834 is: 992,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,505 : 678,834 = 678,834 : x
  2. Step 2: Convert to fraction form
    464,505/678,834 = 678,834/x
  3. Step 3: Cross multiply
    464,505x = 678,834 × 678,834
  4. Step 4: Simplify right side
    464,505x = 460,815,599,556
  5. Step 5: Solve for x
    x = 460,815,599,556/464,505
  6. Step 6: Final answer
    x = 992,057.35

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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.