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Finding the Third Proportional to 140,449 and 307,174

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Solution

The third proportional to 140,449 and 307,174 is: 671,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,449 : 307,174 = 307,174 : x
  2. Step 2: Convert to fraction form
    140,449/307,174 = 307,174/x
  3. Step 3: Cross multiply
    140,449x = 307,174 × 307,174
  4. Step 4: Simplify right side
    140,449x = 94,355,866,276
  5. Step 5: Solve for x
    x = 94,355,866,276/140,449
  6. Step 6: Final answer
    x = 671,815.86

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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.