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Finding the Third Proportional to 11,970.28 and 18,945.28

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Solution

The third proportional to 11,970.28 and 18,945.28 is: 29,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.28 : 18,945.28 = 18,945.28 : x
  2. Step 2: Convert to fraction form
    11,970.28/18,945.28 = 18,945.28/x
  3. Step 3: Cross multiply
    11,970.28x = 18,945.28 × 18,945.28
  4. Step 4: Simplify right side
    11,970.28x = 358,923,681.64
  5. Step 5: Solve for x
    x = 358,923,681.64/11,970.28
  6. Step 6: Final answer
    x = 29,984.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.