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Finding the Third Proportional to 426,780 and 919,720

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Solution

The third proportional to 426,780 and 919,720 is: 1,982,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,780 : 919,720 = 919,720 : x
  2. Step 2: Convert to fraction form
    426,780/919,720 = 919,720/x
  3. Step 3: Cross multiply
    426,780x = 919,720 × 919,720
  4. Step 4: Simplify right side
    426,780x = 845,884,878,400
  5. Step 5: Solve for x
    x = 845,884,878,400/426,780
  6. Step 6: Final answer
    x = 1,982,016.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.