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Finding the Third Proportional to 356,880 and 743,364

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Solution

The third proportional to 356,880 and 743,364 is: 1,548,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,880 : 743,364 = 743,364 : x
  2. Step 2: Convert to fraction form
    356,880/743,364 = 743,364/x
  3. Step 3: Cross multiply
    356,880x = 743,364 × 743,364
  4. Step 4: Simplify right side
    356,880x = 552,590,036,496
  5. Step 5: Solve for x
    x = 552,590,036,496/356,880
  6. Step 6: Final answer
    x = 1,548,391.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.