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Finding the Third Proportional to 655,425 and 989,145

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Solution

The third proportional to 655,425 and 989,145 is: 1,492,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,425 : 989,145 = 989,145 : x
  2. Step 2: Convert to fraction form
    655,425/989,145 = 989,145/x
  3. Step 3: Cross multiply
    655,425x = 989,145 × 989,145
  4. Step 4: Simplify right side
    655,425x = 978,407,831,025
  5. Step 5: Solve for x
    x = 978,407,831,025/655,425
  6. Step 6: Final answer
    x = 1,492,783.81

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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.