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Finding the Third Proportional to 393,018 and 608,739

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Solution

The third proportional to 393,018 and 608,739 is: 942,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,018 : 608,739 = 608,739 : x
  2. Step 2: Convert to fraction form
    393,018/608,739 = 608,739/x
  3. Step 3: Cross multiply
    393,018x = 608,739 × 608,739
  4. Step 4: Simplify right side
    393,018x = 370,563,170,121
  5. Step 5: Solve for x
    x = 370,563,170,121/393,018
  6. Step 6: Final answer
    x = 942,865.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.