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Finding the Third Proportional to 412,209 and 655,695

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Solution

The third proportional to 412,209 and 655,695 is: 1,043,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,209 : 655,695 = 655,695 : x
  2. Step 2: Convert to fraction form
    412,209/655,695 = 655,695/x
  3. Step 3: Cross multiply
    412,209x = 655,695 × 655,695
  4. Step 4: Simplify right side
    412,209x = 429,935,933,025
  5. Step 5: Solve for x
    x = 429,935,933,025/412,209
  6. Step 6: Final answer
    x = 1,043,004.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.