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Finding the Third Proportional to 128,070 and 275,868

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Solution

The third proportional to 128,070 and 275,868 is: 594,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,070 : 275,868 = 275,868 : x
  2. Step 2: Convert to fraction form
    128,070/275,868 = 275,868/x
  3. Step 3: Cross multiply
    128,070x = 275,868 × 275,868
  4. Step 4: Simplify right side
    128,070x = 76,103,153,424
  5. Step 5: Solve for x
    x = 76,103,153,424/128,070
  6. Step 6: Final answer
    x = 594,230.92

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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.