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Finding the Third Proportional to 286,878 and 442,413

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Solution

The third proportional to 286,878 and 442,413 is: 682,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,878 : 442,413 = 442,413 : x
  2. Step 2: Convert to fraction form
    286,878/442,413 = 442,413/x
  3. Step 3: Cross multiply
    286,878x = 442,413 × 442,413
  4. Step 4: Simplify right side
    286,878x = 195,729,262,569
  5. Step 5: Solve for x
    x = 195,729,262,569/286,878
  6. Step 6: Final answer
    x = 682,273.52

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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.