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Finding the Third Proportional to 308,431.50 and 471,394.50

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Solution

The third proportional to 308,431.50 and 471,394.50 is: 720,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,431.50 : 471,394.50 = 471,394.50 : x
  2. Step 2: Convert to fraction form
    308,431.50/471,394.50 = 471,394.50/x
  3. Step 3: Cross multiply
    308,431.50x = 471,394.50 × 471,394.50
  4. Step 4: Simplify right side
    308,431.50x = 222,212,774,630.25
  5. Step 5: Solve for x
    x = 222,212,774,630.25/308,431.50
  6. Step 6: Final answer
    x = 720,460.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.