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Finding the Third Proportional to 475,131 and 989,439

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Solution

The third proportional to 475,131 and 989,439 is: 2,060,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,131 : 989,439 = 989,439 : x
  2. Step 2: Convert to fraction form
    475,131/989,439 = 989,439/x
  3. Step 3: Cross multiply
    475,131x = 989,439 × 989,439
  4. Step 4: Simplify right side
    475,131x = 978,989,534,721
  5. Step 5: Solve for x
    x = 978,989,534,721/475,131
  6. Step 6: Final answer
    x = 2,060,462.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.