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Finding the Third Proportional to 197,264 and 288,513

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Solution

The third proportional to 197,264 and 288,513 is: 421,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,264 : 288,513 = 288,513 : x
  2. Step 2: Convert to fraction form
    197,264/288,513 = 288,513/x
  3. Step 3: Cross multiply
    197,264x = 288,513 × 288,513
  4. Step 4: Simplify right side
    197,264x = 83,239,751,169
  5. Step 5: Solve for x
    x = 83,239,751,169/197,264
  6. Step 6: Final answer
    x = 421,971.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.