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Finding the Third Proportional to 1,100,309,251.50 and 1,646,101,359

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Solution

The third proportional to 1,100,309,251.50 and 1,646,101,359 is: 2,462,625,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,309,251.50 : 1,646,101,359 = 1,646,101,359 : x
  2. Step 2: Convert to fraction form
    1,100,309,251.50/1,646,101,359 = 1,646,101,359/x
  3. Step 3: Cross multiply
    1,100,309,251.50x = 1,646,101,359 × 1,646,101,359
  4. Step 4: Simplify right side
    1,100,309,251.50x = 2,709,649,684,101,646,848
  5. Step 5: Solve for x
    x = 2,709,649,684,101,646,848/1,100,309,251.50
  6. Step 6: Final answer
    x = 2,462,625,557.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.