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Finding the Third Proportional to 133,040 and 210,625

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Solution

The third proportional to 133,040 and 210,625 is: 333,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,040 : 210,625 = 210,625 : x
  2. Step 2: Convert to fraction form
    133,040/210,625 = 210,625/x
  3. Step 3: Cross multiply
    133,040x = 210,625 × 210,625
  4. Step 4: Simplify right side
    133,040x = 44,362,890,625
  5. Step 5: Solve for x
    x = 44,362,890,625/133,040
  6. Step 6: Final answer
    x = 333,455.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.