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Finding the Third Proportional to 516 and 783

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Solution

The third proportional to 516 and 783 is: 1,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 783 = 783 : x
  2. Step 2: Convert to fraction form
    516/783 = 783/x
  3. Step 3: Cross multiply
    516x = 783 × 783
  4. Step 4: Simplify right side
    516x = 613,089
  5. Step 5: Solve for x
    x = 613,089/516
  6. Step 6: Final answer
    x = 1,188.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.