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Finding the Third Proportional to 630,408 and 1,365,824

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Solution

The third proportional to 630,408 and 1,365,824 is: 2,959,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,408 : 1,365,824 = 1,365,824 : x
  2. Step 2: Convert to fraction form
    630,408/1,365,824 = 1,365,824/x
  3. Step 3: Cross multiply
    630,408x = 1,365,824 × 1,365,824
  4. Step 4: Simplify right side
    630,408x = 1,865,475,198,976
  5. Step 5: Solve for x
    x = 1,865,475,198,976/630,408
  6. Step 6: Final answer
    x = 2,959,155.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.