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Finding the Third Proportional to 152,397 and 330,219

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Solution

The third proportional to 152,397 and 330,219 is: 715,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,397 : 330,219 = 330,219 : x
  2. Step 2: Convert to fraction form
    152,397/330,219 = 330,219/x
  3. Step 3: Cross multiply
    152,397x = 330,219 × 330,219
  4. Step 4: Simplify right side
    152,397x = 109,044,587,961
  5. Step 5: Solve for x
    x = 109,044,587,961/152,397
  6. Step 6: Final answer
    x = 715,529.75

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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.