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Finding the Third Proportional to 539.79 and 780.26

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Solution

The third proportional to 539.79 and 780.26 is: 1,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.79 : 780.26 = 780.26 : x
  2. Step 2: Convert to fraction form
    539.79/780.26 = 780.26/x
  3. Step 3: Cross multiply
    539.79x = 780.26 × 780.26
  4. Step 4: Simplify right side
    539.79x = 608,802.25
  5. Step 5: Solve for x
    x = 608,802.25/539.79
  6. Step 6: Final answer
    x = 1,127.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.