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Finding the Third Proportional to 784.50 and 1,670.81

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Solution

The third proportional to 784.50 and 1,670.81 is: 3,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.50 : 1,670.81 = 1,670.81 : x
  2. Step 2: Convert to fraction form
    784.50/1,670.81 = 1,670.81/x
  3. Step 3: Cross multiply
    784.50x = 1,670.81 × 1,670.81
  4. Step 4: Simplify right side
    784.50x = 2,791,614.41
  5. Step 5: Solve for x
    x = 2,791,614.41/784.50
  6. Step 6: Final answer
    x = 3,558.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.