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Finding the Third Proportional to 405,868 and 646,386

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Solution

The third proportional to 405,868 and 646,386 is: 1,029,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,868 : 646,386 = 646,386 : x
  2. Step 2: Convert to fraction form
    405,868/646,386 = 646,386/x
  3. Step 3: Cross multiply
    405,868x = 646,386 × 646,386
  4. Step 4: Simplify right side
    405,868x = 417,814,860,996
  5. Step 5: Solve for x
    x = 417,814,860,996/405,868
  6. Step 6: Final answer
    x = 1,029,435.34

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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.