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Finding the Third Proportional to 20,937 and 28,813.50

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Solution

The third proportional to 20,937 and 28,813.50 is: 39,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937 : 28,813.50 = 28,813.50 : x
  2. Step 2: Convert to fraction form
    20,937/28,813.50 = 28,813.50/x
  3. Step 3: Cross multiply
    20,937x = 28,813.50 × 28,813.50
  4. Step 4: Simplify right side
    20,937x = 830,217,782.25
  5. Step 5: Solve for x
    x = 830,217,782.25/20,937
  6. Step 6: Final answer
    x = 39,653.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.