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Finding the Third Proportional to 3,142.13 and 4,328.23

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Solution

The third proportional to 3,142.13 and 4,328.23 is: 5,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.13 : 4,328.23 = 4,328.23 : x
  2. Step 2: Convert to fraction form
    3,142.13/4,328.23 = 4,328.23/x
  3. Step 3: Cross multiply
    3,142.13x = 4,328.23 × 4,328.23
  4. Step 4: Simplify right side
    3,142.13x = 18,733,545.18
  5. Step 5: Solve for x
    x = 18,733,545.18/3,142.13
  6. Step 6: Final answer
    x = 5,962.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.