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Finding the Third Proportional to 822.45 and 1,307.39

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Solution

The third proportional to 822.45 and 1,307.39 is: 2,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.45 : 1,307.39 = 1,307.39 : x
  2. Step 2: Convert to fraction form
    822.45/1,307.39 = 1,307.39/x
  3. Step 3: Cross multiply
    822.45x = 1,307.39 × 1,307.39
  4. Step 4: Simplify right side
    822.45x = 1,709,270.25
  5. Step 5: Solve for x
    x = 1,709,270.25/822.45
  6. Step 6: Final answer
    x = 2,078.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.