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Finding the Third Proportional to 132,853 and 287,413

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Solution

The third proportional to 132,853 and 287,413 is: 621,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,853 : 287,413 = 287,413 : x
  2. Step 2: Convert to fraction form
    132,853/287,413 = 287,413/x
  3. Step 3: Cross multiply
    132,853x = 287,413 × 287,413
  4. Step 4: Simplify right side
    132,853x = 82,606,232,569
  5. Step 5: Solve for x
    x = 82,606,232,569/132,853
  6. Step 6: Final answer
    x = 621,786.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.