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Finding the Third Proportional to 633,346 and 1,328,132

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Solution

The third proportional to 633,346 and 1,328,132 is: 2,785,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,346 : 1,328,132 = 1,328,132 : x
  2. Step 2: Convert to fraction form
    633,346/1,328,132 = 1,328,132/x
  3. Step 3: Cross multiply
    633,346x = 1,328,132 × 1,328,132
  4. Step 4: Simplify right side
    633,346x = 1,763,934,609,424
  5. Step 5: Solve for x
    x = 1,763,934,609,424/633,346
  6. Step 6: Final answer
    x = 2,785,104.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.