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Finding the Third Proportional to 287,613 and 451,203.75

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Solution

The third proportional to 287,613 and 451,203.75 is: 707,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,613 : 451,203.75 = 451,203.75 : x
  2. Step 2: Convert to fraction form
    287,613/451,203.75 = 451,203.75/x
  3. Step 3: Cross multiply
    287,613x = 451,203.75 × 451,203.75
  4. Step 4: Simplify right side
    287,613x = 203,584,824,014.06
  5. Step 5: Solve for x
    x = 203,584,824,014.06/287,613
  6. Step 6: Final answer
    x = 707,842.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.