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Finding the Third Proportional to 312,124.50 and 471,469.50

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Solution

The third proportional to 312,124.50 and 471,469.50 is: 712,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,124.50 : 471,469.50 = 471,469.50 : x
  2. Step 2: Convert to fraction form
    312,124.50/471,469.50 = 471,469.50/x
  3. Step 3: Cross multiply
    312,124.50x = 471,469.50 × 471,469.50
  4. Step 4: Simplify right side
    312,124.50x = 222,283,489,430.25
  5. Step 5: Solve for x
    x = 222,283,489,430.25/312,124.50
  6. Step 6: Final answer
    x = 712,162.90

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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.