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Finding the Third Proportional to 658,140 and 995,311

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Solution

The third proportional to 658,140 and 995,311 is: 1,505,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,140 : 995,311 = 995,311 : x
  2. Step 2: Convert to fraction form
    658,140/995,311 = 995,311/x
  3. Step 3: Cross multiply
    658,140x = 995,311 × 995,311
  4. Step 4: Simplify right side
    658,140x = 990,643,986,721
  5. Step 5: Solve for x
    x = 990,643,986,721/658,140
  6. Step 6: Final answer
    x = 1,505,217.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.