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Finding the Third Proportional to 133,671 and 287,430

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Solution

The third proportional to 133,671 and 287,430 is: 618,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,671 : 287,430 = 287,430 : x
  2. Step 2: Convert to fraction form
    133,671/287,430 = 287,430/x
  3. Step 3: Cross multiply
    133,671x = 287,430 × 287,430
  4. Step 4: Simplify right side
    133,671x = 82,616,004,900
  5. Step 5: Solve for x
    x = 82,616,004,900/133,671
  6. Step 6: Final answer
    x = 618,054.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.