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Finding the Third Proportional to 9,690 and 20,929.50

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Solution

The third proportional to 9,690 and 20,929.50 is: 45,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690 : 20,929.50 = 20,929.50 : x
  2. Step 2: Convert to fraction form
    9,690/20,929.50 = 20,929.50/x
  3. Step 3: Cross multiply
    9,690x = 20,929.50 × 20,929.50
  4. Step 4: Simplify right side
    9,690x = 438,043,970.25
  5. Step 5: Solve for x
    x = 438,043,970.25/9,690
  6. Step 6: Final answer
    x = 45,205.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.