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Finding the Third Proportional to 14,228.79 and 21,264.40

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Solution

The third proportional to 14,228.79 and 21,264.40 is: 31,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.79 : 21,264.40 = 21,264.40 : x
  2. Step 2: Convert to fraction form
    14,228.79/21,264.40 = 21,264.40/x
  3. Step 3: Cross multiply
    14,228.79x = 21,264.40 × 21,264.40
  4. Step 4: Simplify right side
    14,228.79x = 452,174,640.91
  5. Step 5: Solve for x
    x = 452,174,640.91/14,228.79
  6. Step 6: Final answer
    x = 31,778.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.