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Finding the Third Proportional to 18,931.13 and 29,309.63

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Solution

The third proportional to 18,931.13 and 29,309.63 is: 45,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,931.13 : 29,309.63 = 29,309.63 : x
  2. Step 2: Convert to fraction form
    18,931.13/29,309.63 = 29,309.63/x
  3. Step 3: Cross multiply
    18,931.13x = 29,309.63 × 29,309.63
  4. Step 4: Simplify right side
    18,931.13x = 859,054,117.64
  5. Step 5: Solve for x
    x = 859,054,117.64/18,931.13
  6. Step 6: Final answer
    x = 45,377.87

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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.