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Finding the Third Proportional to 84,064 and 128,292

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Solution

The third proportional to 84,064 and 128,292 is: 195,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064 : 128,292 = 128,292 : x
  2. Step 2: Convert to fraction form
    84,064/128,292 = 128,292/x
  3. Step 3: Cross multiply
    84,064x = 128,292 × 128,292
  4. Step 4: Simplify right side
    84,064x = 16,458,837,264
  5. Step 5: Solve for x
    x = 16,458,837,264/84,064
  6. Step 6: Final answer
    x = 195,789.37

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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.