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Finding the Third Proportional to 140,459 and 307,193

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Solution

The third proportional to 140,459 and 307,193 is: 671,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,459 : 307,193 = 307,193 : x
  2. Step 2: Convert to fraction form
    140,459/307,193 = 307,193/x
  3. Step 3: Cross multiply
    140,459x = 307,193 × 307,193
  4. Step 4: Simplify right side
    140,459x = 94,367,539,249
  5. Step 5: Solve for x
    x = 94,367,539,249/140,459
  6. Step 6: Final answer
    x = 671,851.14

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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.