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Finding the Third Proportional to 140,317 and 306,886

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Solution

The third proportional to 140,317 and 306,886 is: 671,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,317 : 306,886 = 306,886 : x
  2. Step 2: Convert to fraction form
    140,317/306,886 = 306,886/x
  3. Step 3: Cross multiply
    140,317x = 306,886 × 306,886
  4. Step 4: Simplify right side
    140,317x = 94,179,016,996
  5. Step 5: Solve for x
    x = 94,179,016,996/140,317
  6. Step 6: Final answer
    x = 671,187.50

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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.