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Finding the Third Proportional to 991,796 and 2,148,400

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Solution

The third proportional to 991,796 and 2,148,400 is: 4,653,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,796 : 2,148,400 = 2,148,400 : x
  2. Step 2: Convert to fraction form
    991,796/2,148,400 = 2,148,400/x
  3. Step 3: Cross multiply
    991,796x = 2,148,400 × 2,148,400
  4. Step 4: Simplify right side
    991,796x = 4,615,622,560,000
  5. Step 5: Solve for x
    x = 4,615,622,560,000/991,796
  6. Step 6: Final answer
    x = 4,653,802.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.