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Finding the Third Proportional to 413,862 and 768,648

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Solution

The third proportional to 413,862 and 768,648 is: 1,427,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,862 : 768,648 = 768,648 : x
  2. Step 2: Convert to fraction form
    413,862/768,648 = 768,648/x
  3. Step 3: Cross multiply
    413,862x = 768,648 × 768,648
  4. Step 4: Simplify right side
    413,862x = 590,819,747,904
  5. Step 5: Solve for x
    x = 590,819,747,904/413,862
  6. Step 6: Final answer
    x = 1,427,576.70

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.