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Finding the Third Proportional to 655,680 and 989,544

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Solution

The third proportional to 655,680 and 989,544 is: 1,493,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,680 : 989,544 = 989,544 : x
  2. Step 2: Convert to fraction form
    655,680/989,544 = 989,544/x
  3. Step 3: Cross multiply
    655,680x = 989,544 × 989,544
  4. Step 4: Simplify right side
    655,680x = 979,197,327,936
  5. Step 5: Solve for x
    x = 979,197,327,936/655,680
  6. Step 6: Final answer
    x = 1,493,407.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.