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Finding the Third Proportional to 15,306 and 33,420

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Solution

The third proportional to 15,306 and 33,420 is: 72,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306 : 33,420 = 33,420 : x
  2. Step 2: Convert to fraction form
    15,306/33,420 = 33,420/x
  3. Step 3: Cross multiply
    15,306x = 33,420 × 33,420
  4. Step 4: Simplify right side
    15,306x = 1,116,896,400
  5. Step 5: Solve for x
    x = 1,116,896,400/15,306
  6. Step 6: Final answer
    x = 72,971.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.