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Finding the Third Proportional to 319,692 and 469,170

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Solution

The third proportional to 319,692 and 469,170 is: 688,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,692 : 469,170 = 469,170 : x
  2. Step 2: Convert to fraction form
    319,692/469,170 = 469,170/x
  3. Step 3: Cross multiply
    319,692x = 469,170 × 469,170
  4. Step 4: Simplify right side
    319,692x = 220,120,488,900
  5. Step 5: Solve for x
    x = 220,120,488,900/319,692
  6. Step 6: Final answer
    x = 688,539.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.