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Finding the Third Proportional to 977,519 and 2,091,721

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Solution

The third proportional to 977,519 and 2,091,721 is: 4,475,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,519 : 2,091,721 = 2,091,721 : x
  2. Step 2: Convert to fraction form
    977,519/2,091,721 = 2,091,721/x
  3. Step 3: Cross multiply
    977,519x = 2,091,721 × 2,091,721
  4. Step 4: Simplify right side
    977,519x = 4,375,296,741,841
  5. Step 5: Solve for x
    x = 4,375,296,741,841/977,519
  6. Step 6: Final answer
    x = 4,475,919.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.