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Finding the Third Proportional to 320,454 and 741,830

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Solution

The third proportional to 320,454 and 741,830 is: 1,717,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,454 : 741,830 = 741,830 : x
  2. Step 2: Convert to fraction form
    320,454/741,830 = 741,830/x
  3. Step 3: Cross multiply
    320,454x = 741,830 × 741,830
  4. Step 4: Simplify right side
    320,454x = 550,311,748,900
  5. Step 5: Solve for x
    x = 550,311,748,900/320,454
  6. Step 6: Final answer
    x = 1,717,287.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.