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Finding the Third Proportional to 356,590 and 743,060

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Solution

The third proportional to 356,590 and 743,060 is: 1,548,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,590 : 743,060 = 743,060 : x
  2. Step 2: Convert to fraction form
    356,590/743,060 = 743,060/x
  3. Step 3: Cross multiply
    356,590x = 743,060 × 743,060
  4. Step 4: Simplify right side
    356,590x = 552,138,163,600
  5. Step 5: Solve for x
    x = 552,138,163,600/356,590
  6. Step 6: Final answer
    x = 1,548,383.76

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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.