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Finding the Third Proportional to 842,132.25 and 1,294,431.38

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Solution

The third proportional to 842,132.25 and 1,294,431.38 is: 1,989,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,132.25 : 1,294,431.38 = 1,294,431.38 : x
  2. Step 2: Convert to fraction form
    842,132.25/1,294,431.38 = 1,294,431.38/x
  3. Step 3: Cross multiply
    842,132.25x = 1,294,431.38 × 1,294,431.38
  4. Step 4: Simplify right side
    842,132.25x = 1,675,552,584,584.39
  5. Step 5: Solve for x
    x = 1,675,552,584,584.39/842,132.25
  6. Step 6: Final answer
    x = 1,989,654.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.