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Finding the Third Proportional to 169,408 and 360,728

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Solution

The third proportional to 169,408 and 360,728 is: 768,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408 : 360,728 = 360,728 : x
  2. Step 2: Convert to fraction form
    169,408/360,728 = 360,728/x
  3. Step 3: Cross multiply
    169,408x = 360,728 × 360,728
  4. Step 4: Simplify right side
    169,408x = 130,124,689,984
  5. Step 5: Solve for x
    x = 130,124,689,984/169,408
  6. Step 6: Final answer
    x = 768,114.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.