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Finding the Third Proportional to 489,169 and 731,503

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Solution

The third proportional to 489,169 and 731,503 is: 1,093,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,169 : 731,503 = 731,503 : x
  2. Step 2: Convert to fraction form
    489,169/731,503 = 731,503/x
  3. Step 3: Cross multiply
    489,169x = 731,503 × 731,503
  4. Step 4: Simplify right side
    489,169x = 535,096,639,009
  5. Step 5: Solve for x
    x = 535,096,639,009/489,169
  6. Step 6: Final answer
    x = 1,093,889.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.