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Finding the Third Proportional to 100,434 and 218,148

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Solution

The third proportional to 100,434 and 218,148 is: 473,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,434 : 218,148 = 218,148 : x
  2. Step 2: Convert to fraction form
    100,434/218,148 = 218,148/x
  3. Step 3: Cross multiply
    100,434x = 218,148 × 218,148
  4. Step 4: Simplify right side
    100,434x = 47,588,549,904
  5. Step 5: Solve for x
    x = 47,588,549,904/100,434
  6. Step 6: Final answer
    x = 473,829.08

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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.