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Finding the Third Proportional to 33,368 and 72,559

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Solution

The third proportional to 33,368 and 72,559 is: 157,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368 : 72,559 = 72,559 : x
  2. Step 2: Convert to fraction form
    33,368/72,559 = 72,559/x
  3. Step 3: Cross multiply
    33,368x = 72,559 × 72,559
  4. Step 4: Simplify right side
    33,368x = 5,264,808,481
  5. Step 5: Solve for x
    x = 5,264,808,481/33,368
  6. Step 6: Final answer
    x = 157,780.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.