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Finding the Third Proportional to 3,160.90 and 5,128.63

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Solution

The third proportional to 3,160.90 and 5,128.63 is: 8,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.90 : 5,128.63 = 5,128.63 : x
  2. Step 2: Convert to fraction form
    3,160.90/5,128.63 = 5,128.63/x
  3. Step 3: Cross multiply
    3,160.90x = 5,128.63 × 5,128.63
  4. Step 4: Simplify right side
    3,160.90x = 26,302,834.46
  5. Step 5: Solve for x
    x = 26,302,834.46/3,160.90
  6. Step 6: Final answer
    x = 8,321.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.