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Finding the Third Proportional to 972,970 and 2,129,198

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Solution

The third proportional to 972,970 and 2,129,198 is: 4,659,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,970 : 2,129,198 = 2,129,198 : x
  2. Step 2: Convert to fraction form
    972,970/2,129,198 = 2,129,198/x
  3. Step 3: Cross multiply
    972,970x = 2,129,198 × 2,129,198
  4. Step 4: Simplify right side
    972,970x = 4,533,484,123,204
  5. Step 5: Solve for x
    x = 4,533,484,123,204/972,970
  6. Step 6: Final answer
    x = 4,659,428.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.