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Finding the Third Proportional to 677,871 and 899,623

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Solution

The third proportional to 677,871 and 899,623 is: 1,193,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,871 : 899,623 = 899,623 : x
  2. Step 2: Convert to fraction form
    677,871/899,623 = 899,623/x
  3. Step 3: Cross multiply
    677,871x = 899,623 × 899,623
  4. Step 4: Simplify right side
    677,871x = 809,321,542,129
  5. Step 5: Solve for x
    x = 809,321,542,129/677,871
  6. Step 6: Final answer
    x = 1,193,916.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.