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Finding the Third Proportional to 140,007 and 307,236

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Solution

The third proportional to 140,007 and 307,236 is: 674,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,007 : 307,236 = 307,236 : x
  2. Step 2: Convert to fraction form
    140,007/307,236 = 307,236/x
  3. Step 3: Cross multiply
    140,007x = 307,236 × 307,236
  4. Step 4: Simplify right side
    140,007x = 94,393,959,696
  5. Step 5: Solve for x
    x = 94,393,959,696/140,007
  6. Step 6: Final answer
    x = 674,208.86

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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.