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Finding the Third Proportional to 78,840 and 119,076

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Solution

The third proportional to 78,840 and 119,076 is: 179,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 119,076 = 119,076 : x
  2. Step 2: Convert to fraction form
    78,840/119,076 = 119,076/x
  3. Step 3: Cross multiply
    78,840x = 119,076 × 119,076
  4. Step 4: Simplify right side
    78,840x = 14,179,093,776
  5. Step 5: Solve for x
    x = 14,179,093,776/78,840
  6. Step 6: Final answer
    x = 179,846.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.