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Finding the Third Proportional to 11,300.50 and 22,920

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Solution

The third proportional to 11,300.50 and 22,920 is: 46,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.50 : 22,920 = 22,920 : x
  2. Step 2: Convert to fraction form
    11,300.50/22,920 = 22,920/x
  3. Step 3: Cross multiply
    11,300.50x = 22,920 × 22,920
  4. Step 4: Simplify right side
    11,300.50x = 525,326,400
  5. Step 5: Solve for x
    x = 525,326,400/11,300.50
  6. Step 6: Final answer
    x = 46,487.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.