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Finding the Third Proportional to 208,122 and 442,160

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Solution

The third proportional to 208,122 and 442,160 is: 939,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122 : 442,160 = 442,160 : x
  2. Step 2: Convert to fraction form
    208,122/442,160 = 442,160/x
  3. Step 3: Cross multiply
    208,122x = 442,160 × 442,160
  4. Step 4: Simplify right side
    208,122x = 195,505,465,600
  5. Step 5: Solve for x
    x = 195,505,465,600/208,122
  6. Step 6: Final answer
    x = 939,379.14

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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.