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Finding the Third Proportional to 642,072 and 995,568

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Solution

The third proportional to 642,072 and 995,568 is: 1,543,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,072 : 995,568 = 995,568 : x
  2. Step 2: Convert to fraction form
    642,072/995,568 = 995,568/x
  3. Step 3: Cross multiply
    642,072x = 995,568 × 995,568
  4. Step 4: Simplify right side
    642,072x = 991,155,642,624
  5. Step 5: Solve for x
    x = 991,155,642,624/642,072
  6. Step 6: Final answer
    x = 1,543,683.02

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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.