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Finding the Third Proportional to 14,690.75 and 21,420.63

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Solution

The third proportional to 14,690.75 and 21,420.63 is: 31,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.75 : 21,420.63 = 21,420.63 : x
  2. Step 2: Convert to fraction form
    14,690.75/21,420.63 = 21,420.63/x
  3. Step 3: Cross multiply
    14,690.75x = 21,420.63 × 21,420.63
  4. Step 4: Simplify right side
    14,690.75x = 458,843,175.39
  5. Step 5: Solve for x
    x = 458,843,175.39/14,690.75
  6. Step 6: Final answer
    x = 31,233.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.