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Finding the Third Proportional to 78,124.50 and 161,787.38

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Solution

The third proportional to 78,124.50 and 161,787.38 is: 335,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.50 : 161,787.38 = 161,787.38 : x
  2. Step 2: Convert to fraction form
    78,124.50/161,787.38 = 161,787.38/x
  3. Step 3: Cross multiply
    78,124.50x = 161,787.38 × 161,787.38
  4. Step 4: Simplify right side
    78,124.50x = 26,175,154,709.39
  5. Step 5: Solve for x
    x = 26,175,154,709.39/78,124.50
  6. Step 6: Final answer
    x = 335,044.12

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.