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Finding the Third Proportional to 15,559.78 and 23,574.84

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Solution

The third proportional to 15,559.78 and 23,574.84 is: 35,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,559.78 : 23,574.84 = 23,574.84 : x
  2. Step 2: Convert to fraction form
    15,559.78/23,574.84 = 23,574.84/x
  3. Step 3: Cross multiply
    15,559.78x = 23,574.84 × 23,574.84
  4. Step 4: Simplify right side
    15,559.78x = 555,773,257.84
  5. Step 5: Solve for x
    x = 555,773,257.84/15,559.78
  6. Step 6: Final answer
    x = 35,718.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.