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Finding the Third Proportional to 653,025 and 989,393

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Solution

The third proportional to 653,025 and 989,393 is: 1,499,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,025 : 989,393 = 989,393 : x
  2. Step 2: Convert to fraction form
    653,025/989,393 = 989,393/x
  3. Step 3: Cross multiply
    653,025x = 989,393 × 989,393
  4. Step 4: Simplify right side
    653,025x = 978,898,508,449
  5. Step 5: Solve for x
    x = 978,898,508,449/653,025
  6. Step 6: Final answer
    x = 1,499,021.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.