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Finding the Third Proportional to 655,320 and 989,001

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Solution

The third proportional to 655,320 and 989,001 is: 1,492,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,320 : 989,001 = 989,001 : x
  2. Step 2: Convert to fraction form
    655,320/989,001 = 989,001/x
  3. Step 3: Cross multiply
    655,320x = 989,001 × 989,001
  4. Step 4: Simplify right side
    655,320x = 978,122,978,001
  5. Step 5: Solve for x
    x = 978,122,978,001/655,320
  6. Step 6: Final answer
    x = 1,492,588.32

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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.