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Finding the Third Proportional to 784 and 844.75

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Solution

The third proportional to 784 and 844.75 is: 910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 844.75 = 844.75 : x
  2. Step 2: Convert to fraction form
    784/844.75 = 844.75/x
  3. Step 3: Cross multiply
    784x = 844.75 × 844.75
  4. Step 4: Simplify right side
    784x = 713,602.56
  5. Step 5: Solve for x
    x = 713,602.56/784
  6. Step 6: Final answer
    x = 910.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.