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Finding the Third Proportional to 129,436 and 302,309

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Solution

The third proportional to 129,436 and 302,309 is: 706,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,436 : 302,309 = 302,309 : x
  2. Step 2: Convert to fraction form
    129,436/302,309 = 302,309/x
  3. Step 3: Cross multiply
    129,436x = 302,309 × 302,309
  4. Step 4: Simplify right side
    129,436x = 91,390,731,481
  5. Step 5: Solve for x
    x = 91,390,731,481/129,436
  6. Step 6: Final answer
    x = 706,068.88

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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.