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Finding the Third Proportional to 655,524 and 989,280

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Solution

The third proportional to 655,524 and 989,280 is: 1,492,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,524 : 989,280 = 989,280 : x
  2. Step 2: Convert to fraction form
    655,524/989,280 = 989,280/x
  3. Step 3: Cross multiply
    655,524x = 989,280 × 989,280
  4. Step 4: Simplify right side
    655,524x = 978,674,918,400
  5. Step 5: Solve for x
    x = 978,674,918,400/655,524
  6. Step 6: Final answer
    x = 1,492,965.81

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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.