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Finding the Third Proportional to 458,420 and 995,724

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Solution

The third proportional to 458,420 and 995,724 is: 2,162,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,420 : 995,724 = 995,724 : x
  2. Step 2: Convert to fraction form
    458,420/995,724 = 995,724/x
  3. Step 3: Cross multiply
    458,420x = 995,724 × 995,724
  4. Step 4: Simplify right side
    458,420x = 991,466,284,176
  5. Step 5: Solve for x
    x = 991,466,284,176/458,420
  6. Step 6: Final answer
    x = 2,162,790.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.