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Finding the Third Proportional to 22,336.25 and 46,510

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Solution

The third proportional to 22,336.25 and 46,510 is: 96,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.25 : 46,510 = 46,510 : x
  2. Step 2: Convert to fraction form
    22,336.25/46,510 = 46,510/x
  3. Step 3: Cross multiply
    22,336.25x = 46,510 × 46,510
  4. Step 4: Simplify right side
    22,336.25x = 2,163,180,100
  5. Step 5: Solve for x
    x = 2,163,180,100/22,336.25
  6. Step 6: Final answer
    x = 96,846.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.