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Finding the Third Proportional to 21,073 and 28,277.50

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Solution

The third proportional to 21,073 and 28,277.50 is: 37,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073 : 28,277.50 = 28,277.50 : x
  2. Step 2: Convert to fraction form
    21,073/28,277.50 = 28,277.50/x
  3. Step 3: Cross multiply
    21,073x = 28,277.50 × 28,277.50
  4. Step 4: Simplify right side
    21,073x = 799,617,006.25
  5. Step 5: Solve for x
    x = 799,617,006.25/21,073
  6. Step 6: Final answer
    x = 37,945.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.