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Finding the Third Proportional to 355,145 and 780,274

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Solution

The third proportional to 355,145 and 780,274 is: 1,714,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,145 : 780,274 = 780,274 : x
  2. Step 2: Convert to fraction form
    355,145/780,274 = 780,274/x
  3. Step 3: Cross multiply
    355,145x = 780,274 × 780,274
  4. Step 4: Simplify right side
    355,145x = 608,827,515,076
  5. Step 5: Solve for x
    x = 608,827,515,076/355,145
  6. Step 6: Final answer
    x = 1,714,306.87

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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.