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Finding the Third Proportional to 489,159 and 675,912

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Solution

The third proportional to 489,159 and 675,912 is: 933,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,159 : 675,912 = 675,912 : x
  2. Step 2: Convert to fraction form
    489,159/675,912 = 675,912/x
  3. Step 3: Cross multiply
    489,159x = 675,912 × 675,912
  4. Step 4: Simplify right side
    489,159x = 456,857,031,744
  5. Step 5: Solve for x
    x = 456,857,031,744/489,159
  6. Step 6: Final answer
    x = 933,964.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.