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Finding the Third Proportional to 14,251.78 and 31,239.84

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Solution

The third proportional to 14,251.78 and 31,239.84 is: 68,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.78 : 31,239.84 = 31,239.84 : x
  2. Step 2: Convert to fraction form
    14,251.78/31,239.84 = 31,239.84/x
  3. Step 3: Cross multiply
    14,251.78x = 31,239.84 × 31,239.84
  4. Step 4: Simplify right side
    14,251.78x = 975,927,837.52
  5. Step 5: Solve for x
    x = 975,927,837.52/14,251.78
  6. Step 6: Final answer
    x = 68,477.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.