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Finding the Third Proportional to 490,963 and 761,982

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Solution

The third proportional to 490,963 and 761,982 is: 1,182,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,963 : 761,982 = 761,982 : x
  2. Step 2: Convert to fraction form
    490,963/761,982 = 761,982/x
  3. Step 3: Cross multiply
    490,963x = 761,982 × 761,982
  4. Step 4: Simplify right side
    490,963x = 580,616,568,324
  5. Step 5: Solve for x
    x = 580,616,568,324/490,963
  6. Step 6: Final answer
    x = 1,182,607.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.