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Finding the Third Proportional to 355,167 and 780,318

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Solution

The third proportional to 355,167 and 780,318 is: 1,714,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,167 : 780,318 = 780,318 : x
  2. Step 2: Convert to fraction form
    355,167/780,318 = 780,318/x
  3. Step 3: Cross multiply
    355,167x = 780,318 × 780,318
  4. Step 4: Simplify right side
    355,167x = 608,896,181,124
  5. Step 5: Solve for x
    x = 608,896,181,124/355,167
  6. Step 6: Final answer
    x = 1,714,394.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.