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Finding the Third Proportional to 611.30 and 930.23

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Solution

The third proportional to 611.30 and 930.23 is: 1,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.30 : 930.23 = 930.23 : x
  2. Step 2: Convert to fraction form
    611.30/930.23 = 930.23/x
  3. Step 3: Cross multiply
    611.30x = 930.23 × 930.23
  4. Step 4: Simplify right side
    611.30x = 865,335.99
  5. Step 5: Solve for x
    x = 865,335.99/611.30
  6. Step 6: Final answer
    x = 1,415.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.