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Finding the Third Proportional to 19,703.25 and 30,278.81

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Solution

The third proportional to 19,703.25 and 30,278.81 is: 46,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.25 : 30,278.81 = 30,278.81 : x
  2. Step 2: Convert to fraction form
    19,703.25/30,278.81 = 30,278.81/x
  3. Step 3: Cross multiply
    19,703.25x = 30,278.81 × 30,278.81
  4. Step 4: Simplify right side
    19,703.25x = 916,806,486.41
  5. Step 5: Solve for x
    x = 916,806,486.41/19,703.25
  6. Step 6: Final answer
    x = 46,530.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.