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Finding the Third Proportional to 140,715 and 234,076.50

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Solution

The third proportional to 140,715 and 234,076.50 is: 389,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,715 : 234,076.50 = 234,076.50 : x
  2. Step 2: Convert to fraction form
    140,715/234,076.50 = 234,076.50/x
  3. Step 3: Cross multiply
    140,715x = 234,076.50 × 234,076.50
  4. Step 4: Simplify right side
    140,715x = 54,791,807,852.25
  5. Step 5: Solve for x
    x = 54,791,807,852.25/140,715
  6. Step 6: Final answer
    x = 389,381.43

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.