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Finding the Third Proportional to 645,824 and 995,987

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Solution

The third proportional to 645,824 and 995,987 is: 1,536,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,824 : 995,987 = 995,987 : x
  2. Step 2: Convert to fraction form
    645,824/995,987 = 995,987/x
  3. Step 3: Cross multiply
    645,824x = 995,987 × 995,987
  4. Step 4: Simplify right side
    645,824x = 991,990,104,169
  5. Step 5: Solve for x
    x = 991,990,104,169/645,824
  6. Step 6: Final answer
    x = 1,536,006.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.