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Finding the Third Proportional to 421,983 and 995,520.38

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Solution

The third proportional to 421,983 and 995,520.38 is: 2,348,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,983 : 995,520.38 = 995,520.38 : x
  2. Step 2: Convert to fraction form
    421,983/995,520.38 = 995,520.38/x
  3. Step 3: Cross multiply
    421,983x = 995,520.38 × 995,520.38
  4. Step 4: Simplify right side
    421,983x = 991,060,817,040.14
  5. Step 5: Solve for x
    x = 991,060,817,040.14/421,983
  6. Step 6: Final answer
    x = 2,348,579.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.