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Finding the Third Proportional to 18,613.41 and 40,142.81

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Solution

The third proportional to 18,613.41 and 40,142.81 is: 86,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.41 : 40,142.81 = 40,142.81 : x
  2. Step 2: Convert to fraction form
    18,613.41/40,142.81 = 40,142.81/x
  3. Step 3: Cross multiply
    18,613.41x = 40,142.81 × 40,142.81
  4. Step 4: Simplify right side
    18,613.41x = 1,611,445,395.41
  5. Step 5: Solve for x
    x = 1,611,445,395.41/18,613.41
  6. Step 6: Final answer
    x = 86,574.45

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1.5x scale

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.