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Finding the Third Proportional to 505,560 and 761,544

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Solution

The third proportional to 505,560 and 761,544 is: 1,147,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,560 : 761,544 = 761,544 : x
  2. Step 2: Convert to fraction form
    505,560/761,544 = 761,544/x
  3. Step 3: Cross multiply
    505,560x = 761,544 × 761,544
  4. Step 4: Simplify right side
    505,560x = 579,949,263,936
  5. Step 5: Solve for x
    x = 579,949,263,936/505,560
  6. Step 6: Final answer
    x = 1,147,142.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.