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Finding the Third Proportional to 2,138,397 and 4,453,710.38

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Solution

The third proportional to 2,138,397 and 4,453,710.38 is: 9,275,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,397 : 4,453,710.38 = 4,453,710.38 : x
  2. Step 2: Convert to fraction form
    2,138,397/4,453,710.38 = 4,453,710.38/x
  3. Step 3: Cross multiply
    2,138,397x = 4,453,710.38 × 4,453,710.38
  4. Step 4: Simplify right side
    2,138,397x = 19,835,536,104,382.64
  5. Step 5: Solve for x
    x = 19,835,536,104,382.64/2,138,397
  6. Step 6: Final answer
    x = 9,275,890.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.