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Finding the Third Proportional to 129,432 and 302,299

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Solution

The third proportional to 129,432 and 302,299 is: 706,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,432 : 302,299 = 302,299 : x
  2. Step 2: Convert to fraction form
    129,432/302,299 = 302,299/x
  3. Step 3: Cross multiply
    129,432x = 302,299 × 302,299
  4. Step 4: Simplify right side
    129,432x = 91,384,685,401
  5. Step 5: Solve for x
    x = 91,384,685,401/129,432
  6. Step 6: Final answer
    x = 706,043.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.