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Finding the Third Proportional to 10,600.88 and 15,925.36

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Solution

The third proportional to 10,600.88 and 15,925.36 is: 23,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.88 : 15,925.36 = 15,925.36 : x
  2. Step 2: Convert to fraction form
    10,600.88/15,925.36 = 15,925.36/x
  3. Step 3: Cross multiply
    10,600.88x = 15,925.36 × 15,925.36
  4. Step 4: Simplify right side
    10,600.88x = 253,617,071.22
  5. Step 5: Solve for x
    x = 253,617,071.22/10,600.88
  6. Step 6: Final answer
    x = 23,924.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.