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Finding the Third Proportional to 302,142 and 423,546

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Solution

The third proportional to 302,142 and 423,546 is: 593,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,142 : 423,546 = 423,546 : x
  2. Step 2: Convert to fraction form
    302,142/423,546 = 423,546/x
  3. Step 3: Cross multiply
    302,142x = 423,546 × 423,546
  4. Step 4: Simplify right side
    302,142x = 179,391,214,116
  5. Step 5: Solve for x
    x = 179,391,214,116/302,142
  6. Step 6: Final answer
    x = 593,731.47

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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.