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Finding the Third Proportional to 501.63 and 771.38

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Solution

The third proportional to 501.63 and 771.38 is: 1,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.63 : 771.38 = 771.38 : x
  2. Step 2: Convert to fraction form
    501.63/771.38 = 771.38/x
  3. Step 3: Cross multiply
    501.63x = 771.38 × 771.38
  4. Step 4: Simplify right side
    501.63x = 595,019.39
  5. Step 5: Solve for x
    x = 595,019.39/501.63
  6. Step 6: Final answer
    x = 1,186.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.