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Finding the Third Proportional to 173,776 and 405,987

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Solution

The third proportional to 173,776 and 405,987 is: 948,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,776 : 405,987 = 405,987 : x
  2. Step 2: Convert to fraction form
    173,776/405,987 = 405,987/x
  3. Step 3: Cross multiply
    173,776x = 405,987 × 405,987
  4. Step 4: Simplify right side
    173,776x = 164,825,444,169
  5. Step 5: Solve for x
    x = 164,825,444,169/173,776
  6. Step 6: Final answer
    x = 948,493.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.