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Finding the Third Proportional to 483,410 and 1,036,768

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Solution

The third proportional to 483,410 and 1,036,768 is: 2,223,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,410 : 1,036,768 = 1,036,768 : x
  2. Step 2: Convert to fraction form
    483,410/1,036,768 = 1,036,768/x
  3. Step 3: Cross multiply
    483,410x = 1,036,768 × 1,036,768
  4. Step 4: Simplify right side
    483,410x = 1,074,887,885,824
  5. Step 5: Solve for x
    x = 1,074,887,885,824/483,410
  6. Step 6: Final answer
    x = 2,223,553.27

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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.