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Finding the Third Proportional to 21,730.78 and 33,630.19

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Solution

The third proportional to 21,730.78 and 33,630.19 is: 52,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.78 : 33,630.19 = 33,630.19 : x
  2. Step 2: Convert to fraction form
    21,730.78/33,630.19 = 33,630.19/x
  3. Step 3: Cross multiply
    21,730.78x = 33,630.19 × 33,630.19
  4. Step 4: Simplify right side
    21,730.78x = 1,130,989,511.29
  5. Step 5: Solve for x
    x = 1,130,989,511.29/21,730.78
  6. Step 6: Final answer
    x = 52,045.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.