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Finding the Third Proportional to 129,488 and 305,236

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Solution

The third proportional to 129,488 and 305,236 is: 719,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,488 : 305,236 = 305,236 : x
  2. Step 2: Convert to fraction form
    129,488/305,236 = 305,236/x
  3. Step 3: Cross multiply
    129,488x = 305,236 × 305,236
  4. Step 4: Simplify right side
    129,488x = 93,169,015,696
  5. Step 5: Solve for x
    x = 93,169,015,696/129,488
  6. Step 6: Final answer
    x = 719,518.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.