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Finding the Third Proportional to 100,412 and 218,316

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Solution

The third proportional to 100,412 and 218,316 is: 474,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412 : 218,316 = 218,316 : x
  2. Step 2: Convert to fraction form
    100,412/218,316 = 218,316/x
  3. Step 3: Cross multiply
    100,412x = 218,316 × 218,316
  4. Step 4: Simplify right side
    100,412x = 47,661,875,856
  5. Step 5: Solve for x
    x = 47,661,875,856/100,412
  6. Step 6: Final answer
    x = 474,663.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.