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Finding the Third Proportional to 197,483 and 282,202

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Solution

The third proportional to 197,483 and 282,202 is: 403,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,483 : 282,202 = 282,202 : x
  2. Step 2: Convert to fraction form
    197,483/282,202 = 282,202/x
  3. Step 3: Cross multiply
    197,483x = 282,202 × 282,202
  4. Step 4: Simplify right side
    197,483x = 79,637,968,804
  5. Step 5: Solve for x
    x = 79,637,968,804/197,483
  6. Step 6: Final answer
    x = 403,264.93

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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.