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Finding the Third Proportional to 418,112 and 919,460

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Solution

The third proportional to 418,112 and 919,460 is: 2,021,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,112 : 919,460 = 919,460 : x
  2. Step 2: Convert to fraction form
    418,112/919,460 = 919,460/x
  3. Step 3: Cross multiply
    418,112x = 919,460 × 919,460
  4. Step 4: Simplify right side
    418,112x = 845,406,691,600
  5. Step 5: Solve for x
    x = 845,406,691,600/418,112
  6. Step 6: Final answer
    x = 2,021,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.