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Finding the Third Proportional to 189,407 and 420,855

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Solution

The third proportional to 189,407 and 420,855 is: 935,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,407 : 420,855 = 420,855 : x
  2. Step 2: Convert to fraction form
    189,407/420,855 = 420,855/x
  3. Step 3: Cross multiply
    189,407x = 420,855 × 420,855
  4. Step 4: Simplify right side
    189,407x = 177,118,931,025
  5. Step 5: Solve for x
    x = 177,118,931,025/189,407
  6. Step 6: Final answer
    x = 935,123.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.