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Finding the Third Proportional to 100,485 and 215,541

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Solution

The third proportional to 100,485 and 215,541 is: 462,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,485 : 215,541 = 215,541 : x
  2. Step 2: Convert to fraction form
    100,485/215,541 = 215,541/x
  3. Step 3: Cross multiply
    100,485x = 215,541 × 215,541
  4. Step 4: Simplify right side
    100,485x = 46,457,922,681
  5. Step 5: Solve for x
    x = 46,457,922,681/100,485
  6. Step 6: Final answer
    x = 462,336.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.