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Finding the Third Proportional to 516,980 and 757,447

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Solution

The third proportional to 516,980 and 757,447 is: 1,109,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,980 : 757,447 = 757,447 : x
  2. Step 2: Convert to fraction form
    516,980/757,447 = 757,447/x
  3. Step 3: Cross multiply
    516,980x = 757,447 × 757,447
  4. Step 4: Simplify right side
    516,980x = 573,725,957,809
  5. Step 5: Solve for x
    x = 573,725,957,809/516,980
  6. Step 6: Final answer
    x = 1,109,764.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.