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Finding the Third Proportional to 12,886.88 and 19,509.75

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Solution

The third proportional to 12,886.88 and 19,509.75 is: 29,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.88 : 19,509.75 = 19,509.75 : x
  2. Step 2: Convert to fraction form
    12,886.88/19,509.75 = 19,509.75/x
  3. Step 3: Cross multiply
    12,886.88x = 19,509.75 × 19,509.75
  4. Step 4: Simplify right side
    12,886.88x = 380,630,345.06
  5. Step 5: Solve for x
    x = 380,630,345.06/12,886.88
  6. Step 6: Final answer
    x = 29,536.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.