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Finding the Third Proportional to 306,816 and 717,184

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Solution

The third proportional to 306,816 and 717,184 is: 1,676,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,816 : 717,184 = 717,184 : x
  2. Step 2: Convert to fraction form
    306,816/717,184 = 717,184/x
  3. Step 3: Cross multiply
    306,816x = 717,184 × 717,184
  4. Step 4: Simplify right side
    306,816x = 514,352,889,856
  5. Step 5: Solve for x
    x = 514,352,889,856/306,816
  6. Step 6: Final answer
    x = 1,676,421.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.