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Finding the Third Proportional to 601.03 and 780.84

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Solution

The third proportional to 601.03 and 780.84 is: 1,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.03 : 780.84 = 780.84 : x
  2. Step 2: Convert to fraction form
    601.03/780.84 = 780.84/x
  3. Step 3: Cross multiply
    601.03x = 780.84 × 780.84
  4. Step 4: Simplify right side
    601.03x = 609,716.96
  5. Step 5: Solve for x
    x = 609,716.96/601.03
  6. Step 6: Final answer
    x = 1,014.45

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.