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Finding the Third Proportional to 302,042 and 423,395

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Solution

The third proportional to 302,042 and 423,395 is: 593,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042 : 423,395 = 423,395 : x
  2. Step 2: Convert to fraction form
    302,042/423,395 = 423,395/x
  3. Step 3: Cross multiply
    302,042x = 423,395 × 423,395
  4. Step 4: Simplify right side
    302,042x = 179,263,326,025
  5. Step 5: Solve for x
    x = 179,263,326,025/302,042
  6. Step 6: Final answer
    x = 593,504.63

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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.