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Finding the Third Proportional to 141,936 and 310,438.50

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Solution

The third proportional to 141,936 and 310,438.50 is: 678,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,936 : 310,438.50 = 310,438.50 : x
  2. Step 2: Convert to fraction form
    141,936/310,438.50 = 310,438.50/x
  3. Step 3: Cross multiply
    141,936x = 310,438.50 × 310,438.50
  4. Step 4: Simplify right side
    141,936x = 96,372,062,282.25
  5. Step 5: Solve for x
    x = 96,372,062,282.25/141,936
  6. Step 6: Final answer
    x = 678,982.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.