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Finding the Third Proportional to 381,705 and 591,330

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Solution

The third proportional to 381,705 and 591,330 is: 916,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,705 : 591,330 = 591,330 : x
  2. Step 2: Convert to fraction form
    381,705/591,330 = 591,330/x
  3. Step 3: Cross multiply
    381,705x = 591,330 × 591,330
  4. Step 4: Simplify right side
    381,705x = 349,671,168,900
  5. Step 5: Solve for x
    x = 349,671,168,900/381,705
  6. Step 6: Final answer
    x = 916,076.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.