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Finding the Third Proportional to 353,724 and 728,184

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Solution

The third proportional to 353,724 and 728,184 is: 1,499,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,724 : 728,184 = 728,184 : x
  2. Step 2: Convert to fraction form
    353,724/728,184 = 728,184/x
  3. Step 3: Cross multiply
    353,724x = 728,184 × 728,184
  4. Step 4: Simplify right side
    353,724x = 530,251,937,856
  5. Step 5: Solve for x
    x = 530,251,937,856/353,724
  6. Step 6: Final answer
    x = 1,499,055.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.