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Finding the Third Proportional to 289,901 and 423,727

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Solution

The third proportional to 289,901 and 423,727 is: 619,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,901 : 423,727 = 423,727 : x
  2. Step 2: Convert to fraction form
    289,901/423,727 = 423,727/x
  3. Step 3: Cross multiply
    289,901x = 423,727 × 423,727
  4. Step 4: Simplify right side
    289,901x = 179,544,570,529
  5. Step 5: Solve for x
    x = 179,544,570,529/289,901
  6. Step 6: Final answer
    x = 619,330.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.