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Finding the Third Proportional to 140,357 and 306,962

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Solution

The third proportional to 140,357 and 306,962 is: 671,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,357 : 306,962 = 306,962 : x
  2. Step 2: Convert to fraction form
    140,357/306,962 = 306,962/x
  3. Step 3: Cross multiply
    140,357x = 306,962 × 306,962
  4. Step 4: Simplify right side
    140,357x = 94,225,669,444
  5. Step 5: Solve for x
    x = 94,225,669,444/140,357
  6. Step 6: Final answer
    x = 671,328.61

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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.