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Finding the Third Proportional to 780.75 and 905.63

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Solution

The third proportional to 780.75 and 905.63 is: 1,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 905.63 = 905.63 : x
  2. Step 2: Convert to fraction form
    780.75/905.63 = 905.63/x
  3. Step 3: Cross multiply
    780.75x = 905.63 × 905.63
  4. Step 4: Simplify right side
    780.75x = 820,156.64
  5. Step 5: Solve for x
    x = 820,156.64/780.75
  6. Step 6: Final answer
    x = 1,050.47

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.