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Finding the Third Proportional to 642,053.25 and 995,541.47

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Solution

The third proportional to 642,053.25 and 995,541.47 is: 1,543,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,053.25 : 995,541.47 = 995,541.47 : x
  2. Step 2: Convert to fraction form
    642,053.25/995,541.47 = 995,541.47/x
  3. Step 3: Cross multiply
    642,053.25x = 995,541.47 × 995,541.47
  4. Step 4: Simplify right side
    642,053.25x = 991,102,816,000.91
  5. Step 5: Solve for x
    x = 991,102,816,000.91/642,053.25
  6. Step 6: Final answer
    x = 1,543,645.82

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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.