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Finding the Third Proportional to 421,562 and 995,117

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Solution

The third proportional to 421,562 and 995,117 is: 2,349,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,562 : 995,117 = 995,117 : x
  2. Step 2: Convert to fraction form
    421,562/995,117 = 995,117/x
  3. Step 3: Cross multiply
    421,562x = 995,117 × 995,117
  4. Step 4: Simplify right side
    421,562x = 990,257,843,689
  5. Step 5: Solve for x
    x = 990,257,843,689/421,562
  6. Step 6: Final answer
    x = 2,349,020.65

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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.