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Finding the Third Proportional to 85,396 and 128,369

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Solution

The third proportional to 85,396 and 128,369 is: 192,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,396 : 128,369 = 128,369 : x
  2. Step 2: Convert to fraction form
    85,396/128,369 = 128,369/x
  3. Step 3: Cross multiply
    85,396x = 128,369 × 128,369
  4. Step 4: Simplify right side
    85,396x = 16,478,600,161
  5. Step 5: Solve for x
    x = 16,478,600,161/85,396
  6. Step 6: Final answer
    x = 192,966.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.