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Finding the Third Proportional to 421,788 and 995,646

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Solution

The third proportional to 421,788 and 995,646 is: 2,350,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,788 : 995,646 = 995,646 : x
  2. Step 2: Convert to fraction form
    421,788/995,646 = 995,646/x
  3. Step 3: Cross multiply
    421,788x = 995,646 × 995,646
  4. Step 4: Simplify right side
    421,788x = 991,310,957,316
  5. Step 5: Solve for x
    x = 991,310,957,316/421,788
  6. Step 6: Final answer
    x = 2,350,258.80

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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.