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Finding the Third Proportional to 655,837.50 and 989,780.25

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Solution

The third proportional to 655,837.50 and 989,780.25 is: 1,493,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,837.50 : 989,780.25 = 989,780.25 : x
  2. Step 2: Convert to fraction form
    655,837.50/989,780.25 = 989,780.25/x
  3. Step 3: Cross multiply
    655,837.50x = 989,780.25 × 989,780.25
  4. Step 4: Simplify right side
    655,837.50x = 979,664,943,290.06
  5. Step 5: Solve for x
    x = 979,664,943,290.06/655,837.50
  6. Step 6: Final answer
    x = 1,493,761.71

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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.