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Finding the Third Proportional to 141,336 and 309,236

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Solution

The third proportional to 141,336 and 309,236 is: 676,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,336 : 309,236 = 309,236 : x
  2. Step 2: Convert to fraction form
    141,336/309,236 = 309,236/x
  3. Step 3: Cross multiply
    141,336x = 309,236 × 309,236
  4. Step 4: Simplify right side
    141,336x = 95,626,903,696
  5. Step 5: Solve for x
    x = 95,626,903,696/141,336
  6. Step 6: Final answer
    x = 676,592.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.