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Finding the Third Proportional to 676,400 and 1,599,623

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Solution

The third proportional to 676,400 and 1,599,623 is: 3,782,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,400 : 1,599,623 = 1,599,623 : x
  2. Step 2: Convert to fraction form
    676,400/1,599,623 = 1,599,623/x
  3. Step 3: Cross multiply
    676,400x = 1,599,623 × 1,599,623
  4. Step 4: Simplify right side
    676,400x = 2,558,793,742,129
  5. Step 5: Solve for x
    x = 2,558,793,742,129/676,400
  6. Step 6: Final answer
    x = 3,782,959.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.