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Finding the Third Proportional to 197,407 and 282,299

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Solution

The third proportional to 197,407 and 282,299 is: 403,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,407 : 282,299 = 282,299 : x
  2. Step 2: Convert to fraction form
    197,407/282,299 = 282,299/x
  3. Step 3: Cross multiply
    197,407x = 282,299 × 282,299
  4. Step 4: Simplify right side
    197,407x = 79,692,725,401
  5. Step 5: Solve for x
    x = 79,692,725,401/197,407
  6. Step 6: Final answer
    x = 403,697.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.