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Finding the Third Proportional to 64,877 and 140,413

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Solution

The third proportional to 64,877 and 140,413 is: 303,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,877 : 140,413 = 140,413 : x
  2. Step 2: Convert to fraction form
    64,877/140,413 = 140,413/x
  3. Step 3: Cross multiply
    64,877x = 140,413 × 140,413
  4. Step 4: Simplify right side
    64,877x = 19,715,810,569
  5. Step 5: Solve for x
    x = 19,715,810,569/64,877
  6. Step 6: Final answer
    x = 303,895.23

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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.