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Finding the Third Proportional to 214,784 and 330,285

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Solution

The third proportional to 214,784 and 330,285 is: 507,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,784 : 330,285 = 330,285 : x
  2. Step 2: Convert to fraction form
    214,784/330,285 = 330,285/x
  3. Step 3: Cross multiply
    214,784x = 330,285 × 330,285
  4. Step 4: Simplify right side
    214,784x = 109,088,181,225
  5. Step 5: Solve for x
    x = 109,088,181,225/214,784
  6. Step 6: Final answer
    x = 507,897.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.