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Finding the Third Proportional to 475,129.75 and 989,436.25

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Solution

The third proportional to 475,129.75 and 989,436.25 is: 2,060,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,129.75 : 989,436.25 = 989,436.25 : x
  2. Step 2: Convert to fraction form
    475,129.75/989,436.25 = 989,436.25/x
  3. Step 3: Cross multiply
    475,129.75x = 989,436.25 × 989,436.25
  4. Step 4: Simplify right side
    475,129.75x = 978,984,092,814.06
  5. Step 5: Solve for x
    x = 978,984,092,814.06/475,129.75
  6. Step 6: Final answer
    x = 2,060,456.31

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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.