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Finding the Third Proportional to 33,319 and 70,953

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Solution

The third proportional to 33,319 and 70,953 is: 151,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,319 : 70,953 = 70,953 : x
  2. Step 2: Convert to fraction form
    33,319/70,953 = 70,953/x
  3. Step 3: Cross multiply
    33,319x = 70,953 × 70,953
  4. Step 4: Simplify right side
    33,319x = 5,034,328,209
  5. Step 5: Solve for x
    x = 5,034,328,209/33,319
  6. Step 6: Final answer
    x = 151,094.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.