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Finding the Third Proportional to 15,309 and 22,106.25

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Solution

The third proportional to 15,309 and 22,106.25 is: 31,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 22,106.25 = 22,106.25 : x
  2. Step 2: Convert to fraction form
    15,309/22,106.25 = 22,106.25/x
  3. Step 3: Cross multiply
    15,309x = 22,106.25 × 22,106.25
  4. Step 4: Simplify right side
    15,309x = 488,686,289.06
  5. Step 5: Solve for x
    x = 488,686,289.06/15,309
  6. Step 6: Final answer
    x = 31,921.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.