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Finding the Third Proportional to 128,082 and 297,749

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Solution

The third proportional to 128,082 and 297,749 is: 692,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,082 : 297,749 = 297,749 : x
  2. Step 2: Convert to fraction form
    128,082/297,749 = 297,749/x
  3. Step 3: Cross multiply
    128,082x = 297,749 × 297,749
  4. Step 4: Simplify right side
    128,082x = 88,654,467,001
  5. Step 5: Solve for x
    x = 88,654,467,001/128,082
  6. Step 6: Final answer
    x = 692,169.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.