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Finding the Third Proportional to 813.16 and 1,756.05

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Solution

The third proportional to 813.16 and 1,756.05 is: 3,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.16 : 1,756.05 = 1,756.05 : x
  2. Step 2: Convert to fraction form
    813.16/1,756.05 = 1,756.05/x
  3. Step 3: Cross multiply
    813.16x = 1,756.05 × 1,756.05
  4. Step 4: Simplify right side
    813.16x = 3,083,728.07
  5. Step 5: Solve for x
    x = 3,083,728.07/813.16
  6. Step 6: Final answer
    x = 3,792.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.