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Finding the Third Proportional to 15,809.63 and 21,146.63

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Solution

The third proportional to 15,809.63 and 21,146.63 is: 28,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.63 : 21,146.63 = 21,146.63 : x
  2. Step 2: Convert to fraction form
    15,809.63/21,146.63 = 21,146.63/x
  3. Step 3: Cross multiply
    15,809.63x = 21,146.63 × 21,146.63
  4. Step 4: Simplify right side
    15,809.63x = 447,179,748.89
  5. Step 5: Solve for x
    x = 447,179,748.89/15,809.63
  6. Step 6: Final answer
    x = 28,285.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.