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Finding the Third Proportional to 15,009.75 and 16,386.75

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Solution

The third proportional to 15,009.75 and 16,386.75 is: 17,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009.75 : 16,386.75 = 16,386.75 : x
  2. Step 2: Convert to fraction form
    15,009.75/16,386.75 = 16,386.75/x
  3. Step 3: Cross multiply
    15,009.75x = 16,386.75 × 16,386.75
  4. Step 4: Simplify right side
    15,009.75x = 268,525,575.56
  5. Step 5: Solve for x
    x = 268,525,575.56/15,009.75
  6. Step 6: Final answer
    x = 17,890.08

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.