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Finding the Third Proportional to 22,946.50 and 33,539

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Solution

The third proportional to 22,946.50 and 33,539 is: 49,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.50 : 33,539 = 33,539 : x
  2. Step 2: Convert to fraction form
    22,946.50/33,539 = 33,539/x
  3. Step 3: Cross multiply
    22,946.50x = 33,539 × 33,539
  4. Step 4: Simplify right side
    22,946.50x = 1,124,864,521
  5. Step 5: Solve for x
    x = 1,124,864,521/22,946.50
  6. Step 6: Final answer
    x = 49,021.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.