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Finding the Third Proportional to 14,520.63 and 21,355.63

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Solution

The third proportional to 14,520.63 and 21,355.63 is: 31,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.63 : 21,355.63 = 21,355.63 : x
  2. Step 2: Convert to fraction form
    14,520.63/21,355.63 = 21,355.63/x
  3. Step 3: Cross multiply
    14,520.63x = 21,355.63 × 21,355.63
  4. Step 4: Simplify right side
    14,520.63x = 456,062,719.14
  5. Step 5: Solve for x
    x = 456,062,719.14/14,520.63
  6. Step 6: Final answer
    x = 31,407.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.