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Finding the Third Proportional to 208,128 and 442,172

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Solution

The third proportional to 208,128 and 442,172 is: 939,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,128 : 442,172 = 442,172 : x
  2. Step 2: Convert to fraction form
    208,128/442,172 = 442,172/x
  3. Step 3: Cross multiply
    208,128x = 442,172 × 442,172
  4. Step 4: Simplify right side
    208,128x = 195,516,077,584
  5. Step 5: Solve for x
    x = 195,516,077,584/208,128
  6. Step 6: Final answer
    x = 939,403.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.