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Finding the Third Proportional to 849.30 and 1,298.67

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Solution

The third proportional to 849.30 and 1,298.67 is: 1,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.30 : 1,298.67 = 1,298.67 : x
  2. Step 2: Convert to fraction form
    849.30/1,298.67 = 1,298.67/x
  3. Step 3: Cross multiply
    849.30x = 1,298.67 × 1,298.67
  4. Step 4: Simplify right side
    849.30x = 1,686,548.64
  5. Step 5: Solve for x
    x = 1,686,548.64/849.30
  6. Step 6: Final answer
    x = 1,985.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.