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Finding the Third Proportional to 536.31 and 780.02

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Solution

The third proportional to 536.31 and 780.02 is: 1,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.31 : 780.02 = 780.02 : x
  2. Step 2: Convert to fraction form
    536.31/780.02 = 780.02/x
  3. Step 3: Cross multiply
    536.31x = 780.02 × 780.02
  4. Step 4: Simplify right side
    536.31x = 608,431.99
  5. Step 5: Solve for x
    x = 608,431.99/536.31
  6. Step 6: Final answer
    x = 1,134.48

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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.