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Finding the Third Proportional to 356,848 and 769,400

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Solution

The third proportional to 356,848 and 769,400 is: 1,658,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,848 : 769,400 = 769,400 : x
  2. Step 2: Convert to fraction form
    356,848/769,400 = 769,400/x
  3. Step 3: Cross multiply
    356,848x = 769,400 × 769,400
  4. Step 4: Simplify right side
    356,848x = 591,976,360,000
  5. Step 5: Solve for x
    x = 591,976,360,000/356,848
  6. Step 6: Final answer
    x = 1,658,903.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.