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Finding the Third Proportional to 20,472.75 and 53,429.63

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Solution

The third proportional to 20,472.75 and 53,429.63 is: 139,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.75 : 53,429.63 = 53,429.63 : x
  2. Step 2: Convert to fraction form
    20,472.75/53,429.63 = 53,429.63/x
  3. Step 3: Cross multiply
    20,472.75x = 53,429.63 × 53,429.63
  4. Step 4: Simplify right side
    20,472.75x = 2,854,724,827.64
  5. Step 5: Solve for x
    x = 2,854,724,827.64/20,472.75
  6. Step 6: Final answer
    x = 139,440.22

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.