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Finding the Third Proportional to 475,102 and 989,512

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Solution

The third proportional to 475,102 and 989,512 is: 2,060,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,102 : 989,512 = 989,512 : x
  2. Step 2: Convert to fraction form
    475,102/989,512 = 989,512/x
  3. Step 3: Cross multiply
    475,102x = 989,512 × 989,512
  4. Step 4: Simplify right side
    475,102x = 979,133,998,144
  5. Step 5: Solve for x
    x = 979,133,998,144/475,102
  6. Step 6: Final answer
    x = 2,060,892.18

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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.