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Finding the Third Proportional to 84,412 and 128,762

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Solution

The third proportional to 84,412 and 128,762 is: 196,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412 : 128,762 = 128,762 : x
  2. Step 2: Convert to fraction form
    84,412/128,762 = 128,762/x
  3. Step 3: Cross multiply
    84,412x = 128,762 × 128,762
  4. Step 4: Simplify right side
    84,412x = 16,579,652,644
  5. Step 5: Solve for x
    x = 16,579,652,644/84,412
  6. Step 6: Final answer
    x = 196,413.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.