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Finding the Third Proportional to 140,448 and 307,173

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Solution

The third proportional to 140,448 and 307,173 is: 671,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,448 : 307,173 = 307,173 : x
  2. Step 2: Convert to fraction form
    140,448/307,173 = 307,173/x
  3. Step 3: Cross multiply
    140,448x = 307,173 × 307,173
  4. Step 4: Simplify right side
    140,448x = 94,355,251,929
  5. Step 5: Solve for x
    x = 94,355,251,929/140,448
  6. Step 6: Final answer
    x = 671,816.27

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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.