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Finding the Third Proportional to 251,157 and 351,999.50

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Solution

The third proportional to 251,157 and 351,999.50 is: 493,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,157 : 351,999.50 = 351,999.50 : x
  2. Step 2: Convert to fraction form
    251,157/351,999.50 = 351,999.50/x
  3. Step 3: Cross multiply
    251,157x = 351,999.50 × 351,999.50
  4. Step 4: Simplify right side
    251,157x = 123,903,648,000.25
  5. Step 5: Solve for x
    x = 123,903,648,000.25/251,157
  6. Step 6: Final answer
    x = 493,331.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.