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Finding the Third Proportional to 300,642 and 483,545

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Solution

The third proportional to 300,642 and 483,545 is: 777,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,642 : 483,545 = 483,545 : x
  2. Step 2: Convert to fraction form
    300,642/483,545 = 483,545/x
  3. Step 3: Cross multiply
    300,642x = 483,545 × 483,545
  4. Step 4: Simplify right side
    300,642x = 233,815,767,025
  5. Step 5: Solve for x
    x = 233,815,767,025/300,642
  6. Step 6: Final answer
    x = 777,721.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.