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Finding the Third Proportional to 475,134 and 989,445

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Solution

The third proportional to 475,134 and 989,445 is: 2,060,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,134 : 989,445 = 989,445 : x
  2. Step 2: Convert to fraction form
    475,134/989,445 = 989,445/x
  3. Step 3: Cross multiply
    475,134x = 989,445 × 989,445
  4. Step 4: Simplify right side
    475,134x = 979,001,408,025
  5. Step 5: Solve for x
    x = 979,001,408,025/475,134
  6. Step 6: Final answer
    x = 2,060,474.33

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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.