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Finding the Third Proportional to 94,502 and 128,401

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Solution

The third proportional to 94,502 and 128,401 is: 174,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,502 : 128,401 = 128,401 : x
  2. Step 2: Convert to fraction form
    94,502/128,401 = 128,401/x
  3. Step 3: Cross multiply
    94,502x = 128,401 × 128,401
  4. Step 4: Simplify right side
    94,502x = 16,486,816,801
  5. Step 5: Solve for x
    x = 16,486,816,801/94,502
  6. Step 6: Final answer
    x = 174,459.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.