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Finding the Third Proportional to 140,678 and 307,187

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Solution

The third proportional to 140,678 and 307,187 is: 670,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,678 : 307,187 = 307,187 : x
  2. Step 2: Convert to fraction form
    140,678/307,187 = 307,187/x
  3. Step 3: Cross multiply
    140,678x = 307,187 × 307,187
  4. Step 4: Simplify right side
    140,678x = 94,363,852,969
  5. Step 5: Solve for x
    x = 94,363,852,969/140,678
  6. Step 6: Final answer
    x = 670,779.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.