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Finding the Third Proportional to 321,292 and 678,752

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Solution

The third proportional to 321,292 and 678,752 is: 1,433,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,292 : 678,752 = 678,752 : x
  2. Step 2: Convert to fraction form
    321,292/678,752 = 678,752/x
  3. Step 3: Cross multiply
    321,292x = 678,752 × 678,752
  4. Step 4: Simplify right side
    321,292x = 460,704,277,504
  5. Step 5: Solve for x
    x = 460,704,277,504/321,292
  6. Step 6: Final answer
    x = 1,433,911.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.