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Finding the Third Proportional to 197,240 and 288,900

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Solution

The third proportional to 197,240 and 288,900 is: 423,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,240 : 288,900 = 288,900 : x
  2. Step 2: Convert to fraction form
    197,240/288,900 = 288,900/x
  3. Step 3: Cross multiply
    197,240x = 288,900 × 288,900
  4. Step 4: Simplify right side
    197,240x = 83,463,210,000
  5. Step 5: Solve for x
    x = 83,463,210,000/197,240
  6. Step 6: Final answer
    x = 423,155.60

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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.