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Finding the Third Proportional to 15,643.13 and 31,829.63

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Solution

The third proportional to 15,643.13 and 31,829.63 is: 64,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.13 : 31,829.63 = 31,829.63 : x
  2. Step 2: Convert to fraction form
    15,643.13/31,829.63 = 31,829.63/x
  3. Step 3: Cross multiply
    15,643.13x = 31,829.63 × 31,829.63
  4. Step 4: Simplify right side
    15,643.13x = 1,013,125,027.64
  5. Step 5: Solve for x
    x = 1,013,125,027.64/15,643.13
  6. Step 6: Final answer
    x = 64,764.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.