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Finding the Third Proportional to 302,628 and 424,125

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Solution

The third proportional to 302,628 and 424,125 is: 594,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,628 : 424,125 = 424,125 : x
  2. Step 2: Convert to fraction form
    302,628/424,125 = 424,125/x
  3. Step 3: Cross multiply
    302,628x = 424,125 × 424,125
  4. Step 4: Simplify right side
    302,628x = 179,882,015,625
  5. Step 5: Solve for x
    x = 179,882,015,625/302,628
  6. Step 6: Final answer
    x = 594,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.