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Finding the Third Proportional to 991,827 and 2,148,486

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Solution

The third proportional to 991,827 and 2,148,486 is: 4,654,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,827 : 2,148,486 = 2,148,486 : x
  2. Step 2: Convert to fraction form
    991,827/2,148,486 = 2,148,486/x
  3. Step 3: Cross multiply
    991,827x = 2,148,486 × 2,148,486
  4. Step 4: Simplify right side
    991,827x = 4,615,992,092,196
  5. Step 5: Solve for x
    x = 4,615,992,092,196/991,827
  6. Step 6: Final answer
    x = 4,654,029.48

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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.