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Finding the Third Proportional to 9,639.28 and 21,123.84

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Solution

The third proportional to 9,639.28 and 21,123.84 is: 46,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.28 : 21,123.84 = 21,123.84 : x
  2. Step 2: Convert to fraction form
    9,639.28/21,123.84 = 21,123.84/x
  3. Step 3: Cross multiply
    9,639.28x = 21,123.84 × 21,123.84
  4. Step 4: Simplify right side
    9,639.28x = 446,216,774.77
  5. Step 5: Solve for x
    x = 446,216,774.77/9,639.28
  6. Step 6: Final answer
    x = 46,291.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.