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Finding the Third Proportional to 161,787 and 354,677

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Solution

The third proportional to 161,787 and 354,677 is: 777,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,787 : 354,677 = 354,677 : x
  2. Step 2: Convert to fraction form
    161,787/354,677 = 354,677/x
  3. Step 3: Cross multiply
    161,787x = 354,677 × 354,677
  4. Step 4: Simplify right side
    161,787x = 125,795,774,329
  5. Step 5: Solve for x
    x = 125,795,774,329/161,787
  6. Step 6: Final answer
    x = 777,539.45

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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.