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Finding the Third Proportional to 21,391 and 51,533.50

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Solution

The third proportional to 21,391 and 51,533.50 is: 124,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391 : 51,533.50 = 51,533.50 : x
  2. Step 2: Convert to fraction form
    21,391/51,533.50 = 51,533.50/x
  3. Step 3: Cross multiply
    21,391x = 51,533.50 × 51,533.50
  4. Step 4: Simplify right side
    21,391x = 2,655,701,622.25
  5. Step 5: Solve for x
    x = 2,655,701,622.25/21,391
  6. Step 6: Final answer
    x = 124,150.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.