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Finding the Third Proportional to 849.34 and 1,320.05

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Solution

The third proportional to 849.34 and 1,320.05 is: 2,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.34 : 1,320.05 = 1,320.05 : x
  2. Step 2: Convert to fraction form
    849.34/1,320.05 = 1,320.05/x
  3. Step 3: Cross multiply
    849.34x = 1,320.05 × 1,320.05
  4. Step 4: Simplify right side
    849.34x = 1,742,523.75
  5. Step 5: Solve for x
    x = 1,742,523.75/849.34
  6. Step 6: Final answer
    x = 2,051.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.