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Finding the Third Proportional to 930 and 1,300.25

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Solution

The third proportional to 930 and 1,300.25 is: 1,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    930 : 1,300.25 = 1,300.25 : x
  2. Step 2: Convert to fraction form
    930/1,300.25 = 1,300.25/x
  3. Step 3: Cross multiply
    930x = 1,300.25 × 1,300.25
  4. Step 4: Simplify right side
    930x = 1,690,650.06
  5. Step 5: Solve for x
    x = 1,690,650.06/930
  6. Step 6: Final answer
    x = 1,817.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.