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Finding the Third Proportional to 642,078 and 995,580

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Solution

The third proportional to 642,078 and 995,580 is: 1,543,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,078 : 995,580 = 995,580 : x
  2. Step 2: Convert to fraction form
    642,078/995,580 = 995,580/x
  3. Step 3: Cross multiply
    642,078x = 995,580 × 995,580
  4. Step 4: Simplify right side
    642,078x = 991,179,536,400
  5. Step 5: Solve for x
    x = 991,179,536,400/642,078
  6. Step 6: Final answer
    x = 1,543,705.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.