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Finding the Third Proportional to 208,110 and 442,140

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Solution

The third proportional to 208,110 and 442,140 is: 939,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,110 : 442,140 = 442,140 : x
  2. Step 2: Convert to fraction form
    208,110/442,140 = 442,140/x
  3. Step 3: Cross multiply
    208,110x = 442,140 × 442,140
  4. Step 4: Simplify right side
    208,110x = 195,487,779,600
  5. Step 5: Solve for x
    x = 195,487,779,600/208,110
  6. Step 6: Final answer
    x = 939,348.32

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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.