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Finding the Third Proportional to 287,856.75 and 451,506

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Solution

The third proportional to 287,856.75 and 451,506 is: 708,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,856.75 : 451,506 = 451,506 : x
  2. Step 2: Convert to fraction form
    287,856.75/451,506 = 451,506/x
  3. Step 3: Cross multiply
    287,856.75x = 451,506 × 451,506
  4. Step 4: Simplify right side
    287,856.75x = 203,857,668,036
  5. Step 5: Solve for x
    x = 203,857,668,036/287,856.75
  6. Step 6: Final answer
    x = 708,191.38

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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.