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Finding the Third Proportional to 355,216 and 760,816

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Solution

The third proportional to 355,216 and 760,816 is: 1,629,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,216 : 760,816 = 760,816 : x
  2. Step 2: Convert to fraction form
    355,216/760,816 = 760,816/x
  3. Step 3: Cross multiply
    355,216x = 760,816 × 760,816
  4. Step 4: Simplify right side
    355,216x = 578,840,985,856
  5. Step 5: Solve for x
    x = 578,840,985,856/355,216
  6. Step 6: Final answer
    x = 1,629,546.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.