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Finding the Third Proportional to 991,791 and 2,148,390

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Solution

The third proportional to 991,791 and 2,148,390 is: 4,653,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,791 : 2,148,390 = 2,148,390 : x
  2. Step 2: Convert to fraction form
    991,791/2,148,390 = 2,148,390/x
  3. Step 3: Cross multiply
    991,791x = 2,148,390 × 2,148,390
  4. Step 4: Simplify right side
    991,791x = 4,615,579,592,100
  5. Step 5: Solve for x
    x = 4,615,579,592,100/991,791
  6. Step 6: Final answer
    x = 4,653,782.49

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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.