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Finding the Third Proportional to 218,316 and 321,330

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Solution

The third proportional to 218,316 and 321,330 is: 472,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,316 : 321,330 = 321,330 : x
  2. Step 2: Convert to fraction form
    218,316/321,330 = 321,330/x
  3. Step 3: Cross multiply
    218,316x = 321,330 × 321,330
  4. Step 4: Simplify right side
    218,316x = 103,252,968,900
  5. Step 5: Solve for x
    x = 103,252,968,900/218,316
  6. Step 6: Final answer
    x = 472,951.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.