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Finding the Third Proportional to 15,368 and 33,630

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Solution

The third proportional to 15,368 and 33,630 is: 73,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,368 : 33,630 = 33,630 : x
  2. Step 2: Convert to fraction form
    15,368/33,630 = 33,630/x
  3. Step 3: Cross multiply
    15,368x = 33,630 × 33,630
  4. Step 4: Simplify right side
    15,368x = 1,130,976,900
  5. Step 5: Solve for x
    x = 1,130,976,900/15,368
  6. Step 6: Final answer
    x = 73,592.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.