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Finding the Third Proportional to 203,415 and 425,421

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Solution

The third proportional to 203,415 and 425,421 is: 889,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,415 : 425,421 = 425,421 : x
  2. Step 2: Convert to fraction form
    203,415/425,421 = 425,421/x
  3. Step 3: Cross multiply
    203,415x = 425,421 × 425,421
  4. Step 4: Simplify right side
    203,415x = 180,983,027,241
  5. Step 5: Solve for x
    x = 180,983,027,241/203,415
  6. Step 6: Final answer
    x = 889,723.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.